2022-01-28T06:06:44+01:00
https://www.carmin.tv/fr/oai
oai:carmin.tv:archeological-remarks-on-analyticity-properties-in-momentum-space-in-qft
2022-01-11T00:08:01+01:00
videos:institution:ihes
videos:collection:seminaire-de-physique-theorique
oai:carmin.tv:archeological-remarks-on-analyticity-properties-in-momentum-space-in-qft
https://www.carmin.tv/fr/video/archeological-remarks-on-analyticity-properties-in-momentum-space-in-qft
Archeological Remarks on Analyticity Properties in Momentum Space in QFT
video/mp4
IHES
I will describe the foundations of the program of studying the analyticity properties of the n-point functions in momentum space : the primitive domain of analyticity and methods to enlarge it. If time permits, some of the results for the 4-point function will be described.
2021-12-15T00:00:00+01:00
Mandarine Audiovisuel
Henri Epstein
quantum field theory, QFT, momentum space, Researchers
en
https://www.carmin.tv/uploads/video/video-403602fe2c0b4ee47f4c81388022b54c.jpg
oai:carmin.tv:a-tropical-version-of-hilbert-polynomial
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:a-tropical-version-of-hilbert-polynomial
https://www.carmin.tv/fr/video/a-tropical-version-of-hilbert-polynomial
A Tropical Version of Hilbert Polynomial
video/mp4
IHES
We define Hilbert function of a semiring ideal of tropical polynomials in n variables. For n=1 we prove that it is the sum of a linear function and a periodic function (for sufficiently large values). The leading coefficient of the linear function equals the tropical entropy of the ideal. For an arbitrary n we discuss a conjecture that the tropical Hilbert function of a radical ideal is a polynomial of degree at most n−1 (for sufficiently large values). For n=1 the conjecture is true, also we have proved it for zero-dimensional ideals and for planar tropical curves.
2021-12-02T00:00:00+01:00
Mandarine Audiovisuel
Dimitri Grigoryev
Hilbert function, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-0afd2efce46f450afe01878242fa0f53.jpg
oai:carmin.tv:conjectural-enumerations-of-trimer-covers-of-finite-subgraphs-of-the-triangular-lattice
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:conjectural-enumerations-of-trimer-covers-of-finite-subgraphs-of-the-triangular-lattice
https://www.carmin.tv/fr/video/conjectural-enumerations-of-trimer-covers-of-finite-subgraphs-of-the-triangular-lattice
Conjectural Enumerations of Trimer Covers of Finite Subgraphs of the Triangular Lattice
video/mp4
IHES
The work of Conway and Lagarias applying combinatorial group theory to packing problems suggests what we might mean by “domain-wall boundary conditions” for the trimer model on the infinite triangular lattice in which the permitted trimers are triangle trimers and three-in-a-line trimers. Looking at subregions of the lattice with those sorts of boundaries, we find intriguing numerology governing the number of trimer covers. This wealth of conjecture is in stark contrast with the paucity of mathematical tools that permit exact enumeration of trimer covers as compared to dimer covers.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
James Propp
Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-55d10079944fe9b8a86a25bf92501a80.jpg
oai:carmin.tv:noncommutative-wick-polynomials
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:noncommutative-wick-polynomials
https://www.carmin.tv/fr/video/noncommutative-wick-polynomials
Noncommutative Wick Polynomials
video/mp4
IHES
Wick polynomials are at the foundations of QFT (they encode normal orderings) and probability (they encode chaos decompositions). In this lecture, we survey the construction and properties of noncommutative (or free) analogs using shuffle Hopf algebra techniques.
Based on joint works with K. Ebrahimi-Fard, N. Tapia and L. Zambotti.
2021-12-02T00:00:00+01:00
Mandarine Audiovisuel
Frédéric Patras
Wick polynomials, shuffle algebra, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-5a155965e432af8380bdf207f4836d63.jpg
oai:carmin.tv:distance-strong-convexity-flagness-and-associahedra
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:distance-strong-convexity-flagness-and-associahedra
https://www.carmin.tv/fr/video/distance-strong-convexity-flagness-and-associahedra
Distance, Strong Convexity, Flagness, and Associahedra
video/mp4
IHES
One can always transform a triangulation of a convex polygon into another by performing a sequence of edge flips, which amounts to follow a path in the graph G of the associahedron. The least number of flips required to do so is then a distance in that graph whose estimation is instrumental in a variety of contexts, as for instance in computational biology, in computer science, or in algebraic topology. On the other hand, it is known that paths in G correspond to a certain kind of 3-dimensional triangulation. This talk is about the recent proof that these 3-dimensional triangulations are flag when the corresponding path is a geodesic. This result, that provides a new powerful tool to study the geometry of G, can be thought of as a 3-dimensional analogue of a well-known strong convexity property of G. Several consequences on the computation of distances in G and on strong convexity in related graphs will be discussed. This talk is based on joint work with Zili Wang (Dartmouth College).
2021-12-02T00:00:00+01:00
Mandarine Audiovisuel
Lionel Pournin
Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-b7d924c32e5624196abbed04408a6ce5.jpg
oai:carmin.tv:ambitropical-convexity-mean-payoff-games-and-nonarchimedean-convex-programming
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:ambitropical-convexity-mean-payoff-games-and-nonarchimedean-convex-programming
https://www.carmin.tv/fr/video/ambitropical-convexity-mean-payoff-games-and-nonarchimedean-convex-programming
Ambitropical Convexity, Mean Payoff Games and Nonarchimedean Convex Programming
video/mp4
IHES
Convex sets can be defined over ordered fields with a non-archimedean valuation. Then, tropical convex sets arise as images by the valuation of non-archimedean convex sets. The tropicalization of polyhedra and spectrahedra can be described in terms of deterministic and stochastic games with mean payoff, being characterized in terms of sub or super-fixed point sets of Shapley operators, which determine the value of the game. This is motivated by open complexity issues in linear programming. We shall discuss here especially a generalization of tropical convexity: considering fixed point sets of Shapley operators, instead of sub or super-fixed points sets, leads to a richer “ambitropical” theory, which includes tropical convexity and its dual in a unified framework. We shall present several characterizations of ambitropical convex sets, with features related to normed spaces (nonexpansive retracts and hyperconvexity), lattice theory (order preserving retracts), or of a combinatorial nature (cell decompositions in alcoved polyhedra).
The results on ambitropical convexity is from a work with Akian and Vannucci; the ones on the tropicalization of nonarchimedean convex sets are from works with Allamigeon, Benchimol, Joswig and Skomra.
2021-12-02T00:00:00+01:00
Mandarine Audiovisuel
Stéphane Gaubert
tropicalization, ambitropical convexity, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-cbc407050ffa1cfc2364863a96cf6b47.jpg
oai:carmin.tv:on-the-solutions-of-knizhnik-zamolodchikov-differential-equations-by-noncommutative-picard-vessiot-t
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:on-the-solutions-of-knizhnik-zamolodchikov-differential-equations-by-noncommutative-picard-vessiot-t
https://www.carmin.tv/fr/video/on-the-solutions-of-knizhnik-zamolodchikov-differential-equations-by-noncommutative-picard-vessiot-t
On the Solutions of Knizhnik-Zamolodchikov Differential Equations by Noncommutative Picard-Vessiot Theory
video/mp4
IHES
In this talk, basing on the algebraic combinatorics on noncommutative formal power series with holomorphic coefficients and, on the other hand, a Picard-Vessiot theory of noncommutative differential equations, we give a recursive construction of solutions of the Knizhnik-Zamolodchikov equations satisfying asymptotic conditions.
2021-12-02T00:00:00+01:00
Mandarine Audiovisuel
Vincel Hoang Ngoc Minh
Knizhnik-Zamolodchikov equations, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-341cdb77f9f51de54acaf7d1f3896013.jpg
oai:carmin.tv:enumeration-and-generation-of-young-tableaux-with-walls-the-density-method
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:enumeration-and-generation-of-young-tableaux-with-walls-the-density-method
https://www.carmin.tv/fr/video/enumeration-and-generation-of-young-tableaux-with-walls-the-density-method
Enumeration and Generation of Young Tableaux with Walls: the Density Method
video/mp4
IHES
We consider a generalization of Young tableaux in which we allow some consecutive pairs of cells with decreasing labels, conveniently visualized by a ”wall” between the corresponding cells. This leads to new classes of recurrences, and to a surprisingly rich zoo of generating functions (algebraic, hypergeometric, D-finite, differentially-algebraic). Some patterns lead to nice bijections with trees, lattice paths, or permutations. Our approach relies on the density method, a powerful way to perform both uniform random generation and enumeration. It finds its origins in number theory (values of the zeta function, with a Kontsevich-Zagier period point of view) and in poset theory (volume of polytopes). We also apply this approach to describe the asymptotic fluctuations of the limit surface of Young tableaux.
Based on several articles with Philippe Marchal and Michael Wallner.
2021-12-02T00:00:00+01:00
Mandarine Audiovisuel
Cyril Banderier
Young tableaux, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-c9adae700ed3d715a715ce724e6b1ae7.jpg
oai:carmin.tv:asymptotic-distribution-of-parameters-in-trivalent-maps-and-linear-lambda-terms
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:asymptotic-distribution-of-parameters-in-trivalent-maps-and-linear-lambda-terms
https://www.carmin.tv/fr/video/asymptotic-distribution-of-parameters-in-trivalent-maps-and-linear-lambda-terms
Asymptotic Distribution of Parameters in Trivalent Maps and Linear Lambda Terms
video/mp4
IHES
Structural properties of large random maps and lambda-terms may be gleaned by studying the limit distributions of various parameters of interest. In our work we focus on restricted classes of maps and their counterparts in the lambda-calculus, building on recent bijective connections between these two domains. In such cases, parameters in maps naturally correspond to parameters in lambda-terms and vice versa. By an interplay between lambda-terms and maps, we obtain various combinatorial specifications which allow us to access the distributions of pairs of related parameters such as: the number of bridges in rooted trivalent maps and of subterms in closed linear lambda-terms, the number of vertices of degree 1 in (1,3)-valent maps and of free variables in open linear lambda-terms etc. To analyse asymptotically these distributions, we introduce appropriate tools: a moment-pumping schema for differential equations and a composition schema inspired by Bender’s theorem.
Joint work with Olivier Bodini and Noam Zeilberger.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Alexandros Singh
lambda calculus, large random maps, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-381438b7f8d1e6de59a830ac4f40f4cd.jpg
oai:carmin.tv:how-to-conjecture-and-prove-that-the-generating-function-of-the-yang-zagier-numbers-is-algebraic
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:how-to-conjecture-and-prove-that-the-generating-function-of-the-yang-zagier-numbers-is-algebraic
https://www.carmin.tv/fr/video/how-to-conjecture-and-prove-that-the-generating-function-of-the-yang-zagier-numbers-is-algebraic
How to Conjecture and Prove that the Generating Function of the Yang-Zagier Numbers is Algebraic
video/mp4
IHES
In a recent paper Don Zagier mentions a mysterious integer sequence $(a_{n})_{n\geq0}$ which arises from a solution of a topological ODE discovered by Marco Bertola, Boris Dubrovin and Di Yang. In my talk I show how to conjecture, prove and even quantify that $(a_{n})_{n\geq0}$ actually admits an algebraic generating function which is therefore a very particular period. The methods are based on experimental mathematics and algorithmic ideas in differential Galois theory, which I will show in the interactive part of the talk. The presentation is based on joint work with A. Bostan and J.-A. Weil.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Sergey Yurkevich
Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-b71a42b0bfbaf6f3f3d8e83b8dbc5eda.jpg
oai:carmin.tv:anomalous-statistics-of-extreme-random-processes
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:anomalous-statistics-of-extreme-random-processes
https://www.carmin.tv/fr/video/anomalous-statistics-of-extreme-random-processes
Anomalous Statistics of Extreme Random Processes
video/mp4
IHES
I plan to discuss three problems of extremal statistics in which unusual (but related to each other) features arise:
a) statistics of two-dimensional ”stretched” random walks above a semicircle,
b) spectral properties of sparse random matrices,
c) statistics of one-dimensional paths in the Poissonian field of traps. I will pay attention to the relationship of these problems with the Anderson localization in 1D, and with some number-theoretic properties of eta-Dedekind function.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Sergei Nechaev
random walks, random matrices, Anderson localization, statistics, eta-Dedekind function, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-6592c8ef3a0c41409121c7ba9bba90b9.jpg
oai:carmin.tv:a-functorial-excursion-between-algebraic-geometry-and-linear-logic
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:a-functorial-excursion-between-algebraic-geometry-and-linear-logic
https://www.carmin.tv/fr/video/a-functorial-excursion-between-algebraic-geometry-and-linear-logic
A Functorial Excursion between Algebraic Geometry and Linear Logic
video/mp4
IHES
In this talk, I will use the functor of points approach to Algebraic Geometry to establish that every covariant presheaf X on the category of commutative rings — and in particular every scheme X — comes equipped “above it” with a symmetric monoidal closed category PshModX of presheaves of modules. This category PshModX defines moreover a model of intuitionistic linear logic, whose exponential modality is obtained by glueing together in an appropriate way the Sweedler dual construction on ring algebras. The purpose of this work is to explore the idea that linear logic is a logic of generalised vector bundles, in the same way as dependent type theory is understood today as a logic of spaces up to homotopy.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Paul-André Melliès
linear logic, functors, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-da866333dd6cb28e91d237e97416c9f6.jpg
oai:carmin.tv:geometry-matter-and-physics
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:geometry-matter-and-physics
https://www.carmin.tv/fr/video/geometry-matter-and-physics
Geometry, Matter and Physics
video/mp4
IHES
We show how the fundamental statistical properties of quantum fields combined with the superposition principle lead to continuous symmetries including the $SL(2,\mathbb C)$ group and the internal symmetry groups $SU(2)$ and $SU(3)$. The exact colour symmetry is related to ternary $\mathbb Z_3$-graded generalization of the fermionic commutation relations for quarks. A $\mathbb Z_3$-graded generalization of the Dirac equation is presented, and its invariance properties are analyzed. They lead to an enlarged $\mathbb Z_3$-graded Lorentz group, operating in the Hilbert space of quark states including flavors and generations.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Richard Kerner
Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-3ecc214aa6b4b5cba999c593fbc44fe6.jpg
oai:carmin.tv:an-update-on-algebraic-hypergeometric-series
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:an-update-on-algebraic-hypergeometric-series
https://www.carmin.tv/fr/video/an-update-on-algebraic-hypergeometric-series
An Update on Algebraic Hypergeometric Series
video/mp4
IHES
Algebraic hypergeometric series in one variable were classified in 1989 by F. Beukers and G. Heckman, in terms of finite complex reflection groups. Recently, K. Penson observed that one of such series is a generating series of a probability density with compact support, given again by an algebraic function. Then together with N. Behr, G. Duchamp and G. Koshevoy, we found that this is a general phenomenon. The proof is an immediate application on an explicit integral by Bateman and Erdélyi.The probability density is so called Meijer’s G-function, which the unique solution of the hypergeometric differential equation with the pure ramification at point 1. I will speak about it, and also on the genus zero property of the corresponding planar algebraic curve.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Maxim Kontsevich
Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-78aec33d5e91d5b42796a594cae58563.jpg
oai:carmin.tv:some-new-taylor-bkar-formulas
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:some-new-taylor-bkar-formulas
https://www.carmin.tv/fr/video/some-new-taylor-bkar-formulas
Some New Taylor-BKAR Formulas
video/mp4
IHES
We here introduce some combinatorial and analytic tools, conceived to make possible to perform new expansions in the context of constructive field theory and multiscale analysis. These formulas generalize the idea of performing cluster expansion using a sum indexed by forest to the case of a Taylor expansion of order more than zero. They are expected to help construct new field theories of the matrices and tensors type.
2021-12-01T00:00:00+01:00
Mandarine Audiovisuel
Vincent Rivasseau
Léonard Ferdinand
Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-6b53940d6b88879738d434577e0b291f.jpg
oai:carmin.tv:towards-executable-applied-category-theory-in-coq
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:towards-executable-applied-category-theory-in-coq
https://www.carmin.tv/fr/video/towards-executable-applied-category-theory-in-coq
Towards Executable Applied Category Theory in Coq
video/mp4
IHES
This talk will present the ”coreact.wiki” initiative, which aims to develop a novel form of wiki engine that will couple a database of human-readable mathematical knowledge with a database containing machine-readable and -executable representations of this knowledge in proof assistants such as Coq. For the concrete example of analytic combinatorics à la Flajolet and Sedgewick, I will provide an overview of the types of statements that can be efficiently formalized in Coq at present and in the near future, and how we plan to provide an interactive web-based interface to the ”coreact.wiki” platform based upon jsCoq to permit computations and formal proofs in a user-friendly fashion. Time permitting, I will also sketch the possibility of extracting prototypical reference algorithms from formalized categorical statements in Coq via the use of SMT solvers.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
Nicolas Behr
Coq proof assistant, wiki, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-58f8948aae6a7a80fd20eda624f29455.jpg
oai:carmin.tv:maximally-dense-sphere-packings
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:maximally-dense-sphere-packings
https://www.carmin.tv/fr/video/maximally-dense-sphere-packings
Maximally Dense Sphere Packings
video/mp4
IHES
It is well known that to cover the greatest proportion of the Euclidean plane with identical disks, we have to center these disks in a triangular grid. This problem can be generalized in two directions: in higher dimensions or with different sizes of disks. The first direction has been the most studied (for example, in dimension 3, the Kepler’s conjecture was proved by Hales and Ferguson in 1998). In this talk, we will rather focus on the second direction, in particular on the cases of two or three disc sizes. We will survey recent results for a large audience.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
Thomas Fernique
sphere packings, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-21c6a120c50985184af40e9e32a511f6.jpg
oai:carmin.tv:crystal-operators-on-cluster-algebras
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:crystal-operators-on-cluster-algebras
https://www.carmin.tv/fr/video/crystal-operators-on-cluster-algebras
Crystal Operators on Cluster Algebras
video/mp4
IHES
Crystal operators on canonical bases as introduced by Kashiwara/Lusztig provide in particular a toolbox to compute within the category of finite dimensional representations of finite dimensional simple Lie algebras. Motivated by this we introduce certain operators on the lattice of tropical points of mirror dual A- and X-cluster spaces. In particular, this yields a crystal-like structure on the canonical basis due to Gross-Hacking-Keel-Kontsevich. We expect these operators to have a wider range of applications in the theory of cluster algebras and in physics. This is partially based on joint work with Gleb Koshevoy and Bea Schumann.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
Volker Genz
cluster algebras, crystal bases, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-5a0bded5fb2fe13b273952685f287597.jpg
oai:carmin.tv:noncommutative-birational-rowmotion-on-rectangles
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:noncommutative-birational-rowmotion-on-rectangles
https://www.carmin.tv/fr/video/noncommutative-birational-rowmotion-on-rectangles
Noncommutative Birational Rowmotion on Rectangles
video/mp4
IHES
The operation of birational rowmotion on a finite poset has been a mainstay in dynamical algebraic combinatorics for the last 8 years. Since 2015, it is known that for a rectangular poset of the form [p]x[q], this operation is periodic with period p+q. (This result, as has been observed by Max Glick, is equivalent to Zamolodchikov’s periodicity conjecture in type AA, proved by Volkov.)
In this talk, I will outline a proof (joint work with Tom Roby) of a noncommutative generalization of this result. The generalization does not quite extend to the full generality one could hope for it covers noncommutative rings, but not semirings; however, the proof is novel and simpler than the original commutative one. Extending this to semirings and to other posets is work in progress.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
Darij Grinberg
rowmotion, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-19d02cfc94d2185c98ce1c96acb54c06.jpg
oai:carmin.tv:q-cut-and-join-operators-and-q-capelli-identity-on-reflection-equation-algebras
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:q-cut-and-join-operators-and-q-capelli-identity-on-reflection-equation-algebras
https://www.carmin.tv/fr/video/q-cut-and-join-operators-and-q-capelli-identity-on-reflection-equation-algebras
q-cut-and-join Operators and q-Capelli Identity on Reflection Equation Algebras
video/mp4
IHES
There exists a way, based on the notion of Quantum Doubles, to introduce analogs of partial derivatives on the so-called Reflection Equation algebras. Analogously to the classical case it is possible to use these ”q-derivatives” for different applications. I plan to explain their utility for constructing q-analogs of the Casimir operators, close to them cut-and-join operators, and the Capelli identity.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
Dimitry Gurevich
characters, quantum double, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-6d6600d8e76586006f1354efe4cc4287.jpg
oai:carmin.tv:string-cones-and-cluster-varieties
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:combinatorics-and-arithmetic-for-physics-special-days
oai:carmin.tv:string-cones-and-cluster-varieties
https://www.carmin.tv/fr/video/string-cones-and-cluster-varieties
String Cones and Cluster Varieties
video/mp4
IHES
We study defining inequalities of string cones via a potential function on a reduced double Bruhat cell. We give a necessary criterion for the potential function to provide a minimal set of inequalities via tropicalization and conjecture an equivalence. This is based on joint work with Gleb Koshevoy.
2021-11-30T00:00:00+01:00
Mandarine Audiovisuel
Bea Schumann
canonical bases, cluster algebras, quantum groups, Researchers
en
Combinatorics and Arithmetic for Physics: special days / The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.
Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. / Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Vincel Hoang Ngoc Minh / 30/11/2021 - 02/12/2021 / https://indico.math.cnrs.fr/event/7040/
https://www.carmin.tv/uploads/video/video-bacc3b4494f467c426670568dd14b6b9.jpg
oai:carmin.tv:de-la-physique-classique-aux-miracles-du-monde-quantique
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:friends-of-ihes
oai:carmin.tv:de-la-physique-classique-aux-miracles-du-monde-quantique
https://www.carmin.tv/fr/video/de-la-physique-classique-aux-miracles-du-monde-quantique
De la physique classique aux miracles du monde quantique
video/mp4
IHES
Dans cet exposé je discuterai quelques aspects de la transition d’une description classique de la Nature à sa description quantique, dont de nombreux scientifiques prétendent qu’elle n’est toujours pas achevée à leur satisfaction. Ce qui est certain, c’est que le déterminisme et la réversibilité de l’évolution temporelle ne sont plus en vigueur dans le monde quantique.
2021-11-18T00:00:00+01:00
Mandarine Audiovisuel
Jürg Fröhlich
General Public
fr
https://www.carmin.tv/uploads/video/video-2d87a6259ffeda3ac1fc954198c17f4c.jpg
oai:carmin.tv:impact-and-legacy-of-the-2010-paper-on-self-force-and-eob
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:impact-and-legacy-of-the-2010-paper-on-self-force-and-eob
https://www.carmin.tv/fr/video/impact-and-legacy-of-the-2010-paper-on-self-force-and-eob
Impact and Legacy of the 2010 Paper on Self-force and EOB
video/mp4
IHES
In a visionary 2010 paper, T. Damour identified the potential of self-force calculations to inform the construction of a strong-field two-body Hamiltonian in general relativity.
The paper, in a way, foretells much of the history of self-force work in the decade that followed. Six self-force calculations were proposed, each providing a handle on a distinct aspect of the strong-field conservative dynamics. Five of these calculations have been performed so far, paying handsome dividends. The sixth calculation is the focus of intense current effort. This talk will give a perspective on the long-lasting legacy of the 2010 paper.
2021-10-15T00:00:00+02:00
Mandarine Audiovisuel
Leor Barack
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-15-barack-video--81e0eeebcbd1c9863843768ea7a081d1.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4008/barack-leor.pdf
oai:carmin.tv:recent-breakthroughs-in-gravitational-self-force
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:recent-breakthroughs-in-gravitational-self-force
https://www.carmin.tv/fr/video/recent-breakthroughs-in-gravitational-self-force
Recent Breakthroughs in Gravitational Self-force
video/mp4
IHES
Gravitational self-force theory provides a natural method of modeling binaries with small mass ratios. By expanding the binary's metric around the background metric of the larger body, this approach greatly simplifies the binary problem while remaining accurate in the highly relativistic regime. In this talk, I summarize the foundations of self-force theory, how it leads to an elegant two-timescale description of the binary problem, and the current state of the art. I particularly focus on two recent breakthroughs: a two-timescale expansion of the field equations for generic orbital configurations, which enables rapid "post-adiabatic" waveform generation at second order in the binary's mass ratio; and the first calculation of post-adiabatic waveforms. The post-adiabatic waveforms are found to agree well with full numerical relativity waveforms even for mass ratios close to 1, showing that this small-mass-ratio method can be accurate well outside the small-mass-ratio regime.
2021-10-15T00:00:00+02:00
Mandarine Audiovisuel
Adam Pound
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-15-pound-video--6d1dd5a7780046a72d4bbd84090dd59b.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3997/pound-adam.pdf
oai:carmin.tv:a-space-test-of-the-equivalence-principle-with-microscope
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:a-space-test-of-the-equivalence-principle-with-microscope
https://www.carmin.tv/fr/video/a-space-test-of-the-equivalence-principle-with-microscope
A Space Test of the Equivalence Principle with MICROSCOPE
video/mp4
IHES
One century ago, Einstein revealed his theory of gravity which shook the foundations of physics. General Relativity (GR) is a revolutionary concept that is not very intuitive for most people. As a pillar of the GR, the weak equivalence principle (WEP) leads to the universality of free-fall historically attached to Galileo Galilei. Because the WEP is a cornerstone of the GR, its test was particularly intensified since the second half of the twentieth century with essentially two types of experiments: the Bessel/Eötvös Pekár type pendulum developed by the Eöt-Wash group and the Lunar laser ranging measurements. Testing the EP in space was fist devised by Chapman and then widely developed by Everitt's team at Stanford University. The basic idea was to take advantage of calm environments in space to access micro-gravity or better say nano-gravity. In 1999, ONERA and OCA proposed a mission with a performance objective easier to achieve than previously imagined. This mission called MICROSCOPE was developed as part of the CNES Myriad microsatellite line. It was launched in April 2016 and ended its operations in October 2018. Onera was in charge of the scientific instrument development. In close cooperation, OCA and ONERA collected useful data which already place the precision of the EP test at some 10^14 in 2017 with only 7% of the data.
The final results are very close to being published. Extensive verification work has been carried out since the first publication in order to establish the systematic errors. The data process of glitches in the measurement, produced by satellite cracking, was also a difficult task. While awaiting for the final result paper review, the presentation will provide an overview of the mission with particular emphasis on some results of the data processing strategy.
2021-10-15T00:00:00+02:00
Mandarine Audiovisuel
Manuel Rodrigues
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-15-rodrigues-video--b6e3e0b425a2b55ee90cedf3a09b31cf.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4000/rodrigues-manuel.pdf
oai:carmin.tv:on-the-nonlinear-stability-of-the-kerr-metri
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:on-the-nonlinear-stability-of-the-kerr-metri
https://www.carmin.tv/fr/video/on-the-nonlinear-stability-of-the-kerr-metri
On the Nonlinear Stability of the Kerr Metri
video/mp4
IHES
I will give a status report on the stability of Kerr conjecture and focus on my recent results with J. Szeftel and E. Giorgi concerning the case of small angular momentum.
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Sergiu Klainerman
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-klainerman-video--97b6987f86f4008ae096f5d9a312c778.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3995/klainerman-sergiu.pdf
oai:carmin.tv:mpm-pn-explorations-of-inspiraling-compact-binaries-down-indo-french-memory-lane
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:mpm-pn-explorations-of-inspiraling-compact-binaries-down-indo-french-memory-lane
https://www.carmin.tv/fr/video/mpm-pn-explorations-of-inspiraling-compact-binaries-down-indo-french-memory-lane
MPM-PN Explorations of Inspiraling Compact Binaries: Down Indo-French Memory Lane
video/mp4
IHES
The talk is a personal recall of my involvement in projects related to gravitational waves from inspiraling compact binaries with colleagues in France. In particular, a summary of aspects related to eccentric binaries pursued in my group.
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Bala Iyer
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-iyer-video--c13ecb4ebeb0ad65e42fabccd9bbca2c.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4027/iyer-bala.pdf
oai:carmin.tv:higher-order-post-newtonian-adm-dynamics-of-compact-binary-systems-a-djs-tour-de-force
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:higher-order-post-newtonian-adm-dynamics-of-compact-binary-systems-a-djs-tour-de-force
https://www.carmin.tv/fr/video/higher-order-post-newtonian-adm-dynamics-of-compact-binary-systems-a-djs-tour-de-force
Higher-order Post-Newtonian ADM Dynamics of Compact Binary Systems: a DJS “Tour de Force"
video/mp4
IHES
I will present the role of Thibault Damour (‘D’ in ‘DJS’) and his colleagues (‘S’ and ‘J’ in ‘DJS’) in initiating, at the turn of the millennium, calculations of higher-order Post-Newtonian (PN) corrections to the equations of motion of compact binary systems. DJS derived for the first time complete and error-free dynamics of compact binary systems in the 3PN and 4PN orders, and to achieve this, they – also for the first time – successfully applied dimensional regularization to UV divergencies and linked the IR near-zone divergencies to the tail effects. I will conclude with a look at the future of PN computations performed in the traditional, i.e. “à la DJS”, manner
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Piotr Jaranowski
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-jaranowski-video--38a0d7cfbed3985071d31bed3cdda54c.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4012/Jaranowski-piotr.pdf
oai:carmin.tv:almost-50-years-of-probing-strong-field-gravity-with-pulsars-and-still-going-strong
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:almost-50-years-of-probing-strong-field-gravity-with-pulsars-and-still-going-strong
https://www.carmin.tv/fr/video/almost-50-years-of-probing-strong-field-gravity-with-pulsars-and-still-going-strong
Almost 50 Years of Probing Strong-field Gravity with Pulsars - and Still Going Strong
video/mp4
IHES
We experience a golden era in testing and exploring relativistic gravity using gravitational wave detectors, satellites, lab experiments, and also radio astronomical observations. Here, especially binary pulsars provide us with complementary insight. Having provided the first evidence for gravitational waves, pulsars continue to allow probing relativistic strong-field effects - within a framework co-designed by Thibault Damour - that cannot be studied by other means. This talk will present an overview and the latest results of high-precision measurements that go beyond the previous state-of-art, giving access both to studies of relativistic gravity as well as neutron star properties.
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Michael Kramer
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-kramer-video--c766a530590063c6b482cd6046b9b3d7.jpg
oai:carmin.tv:on-the-black-hole-string-transition
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:on-the-black-hole-string-transition
https://www.carmin.tv/fr/video/on-the-black-hole-string-transition
On the Black Hole/String Transition
video/mp4
IHES
It has been proposed that a small enough black hole in string theory would transition into a hot oscillating string. We explore whether this transition can happen smoothly in classical string theory. We find evidence that this is the case in the heterotic string theory, but not in the type II string theory.
The talk is based on a recent paper by Yiming Chen, JM, and Edward Witten: https://arxiv.org/abs/2109.08563
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Juan Maldacena
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-maldacena-video--906d50542d37a331b3247c38877c3354.jpg
oai:carmin.tv:membrane-paradigm-and-fluid-gravity-correspondence
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:membrane-paradigm-and-fluid-gravity-correspondence
https://www.carmin.tv/fr/video/membrane-paradigm-and-fluid-gravity-correspondence
Membrane paradigm and fluid/gravity correspondence
video/mp4
IHES
Damour has been one of the first to suggest that the dynamics of a black hole's horizon could be interpreted as the motion of a fluid, thus inspiring what became known as the membrane paradigm. I will review his seminal contribution and the more modern developments, originating from the holographic duality, that have led to a more systematic understanding of the connections between gravity and fluid dynamics
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Giuseppe Policastro
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-policastro-video--ccbd14f33a2681c0b67a35af01e2e6f2.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3996/Policastro-guiseppe.pdf
oai:carmin.tv:on-the-nature-of-the-ultrarelativistic-prompt-emission-phase-of-grb-190114c-and-grb-180720b
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:on-the-nature-of-the-ultrarelativistic-prompt-emission-phase-of-grb-190114c-and-grb-180720b
https://www.carmin.tv/fr/video/on-the-nature-of-the-ultrarelativistic-prompt-emission-phase-of-grb-190114c-and-grb-180720b
On the Nature of the Ultrarelativistic Prompt Emission Phase of GRB 190114C and GRB 180720B
video/mp4
IHES
We address the physical origin of the ultra-relativistic prompt emission (UPE) phase of GRB 190114C and GRB 180720B. We assume that during the UPE phase, the “inner engine” of the GRB, composed of a Kerr black hole (BH) and a uniform test magnetic field B_0, aligned with the BH rotation axis, a Wald - Papapetrou solution operates in an overcritical field |E| ≥ E_c, where E_c = m^2_ec^3 / (e ħ ), being m_e and -e the mass and charge of the electron. We infer an e^+e^- pair electromagnetic plasma in presence of a baryon load, a PEMB pulse, originating from a vacuum polarization quantum process in the inner engine. This modifies both the boundary conditions and the physics interpretation of the pioneering work of Damour-Ruffini 1975. The new process determine the time-varying mass and spin of the Kerr BH in the inner engine, fulfilling the Christodoulou-Hawking-Ruffini mass-energy formula of a Kerr BH. For the first time, we quantitatively show how the inner engine, by extracting the rotational energy of the Kerr BH, produces a series of PEMB pulses and the overall GRBs MeV emissions (detailed in Phys. Rev. D: https://doi.org/10.1103/PhysRevD.104.063043).
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Remo Ruffini
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-ruffini-video--4a53d85576b6a0f7d318135cab3eb728.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3998/Ruffini-remo.pdf
oai:carmin.tv:inflationary-scalar-and-tensor-hair
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:inflationary-scalar-and-tensor-hair
https://www.carmin.tv/fr/video/inflationary-scalar-and-tensor-hair
Inflationary Scalar and Tensor Hair
video/mp4
IHES
All inflationary models, in spite of locally approaching the de Sitter space-time inside the Hubble radius, have scalar and tensor ‘hair’ – spatial inhomogeneity - outside it. This inhomogeneity does not disappear with time. Just the opposite, its amplitude at a given comoving scale typically remains constant not only during inflation but a long time after its end up to the moment of the second Hubble radius crossing of this scale. Moreover, a part of these scalar inflationary hairs have been already observed through measurements of CMB angular temperature anisotropy and polarization, and we expect the discovery of tensor hairs (primordial gravitational wave background from inflation) in the future. In terms of ‘no-hair’ theorems, this situation is similar but just opposite to that in General Relativity (GR), where we have the ‘no-hair’ property of black holes outside their event horizons, but not inside them. I consider the structure of these hairs in different classical and one-loop quantum models in GR and modified gravity both in linear and non-linear regimes. The description of scalar quantum hair in the non-linear regime during inflation is possible in the closed-form in the scope of the stochastic inflation formalism using the Fokker-Planck equation.
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Alexei Starobinsky
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-14-starobinsky-video--828a6abeba9a56ec49e6ce04219d4ab5.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3990/alexei-starobinsky.pdf
oai:carmin.tv:gravitational-radiation-in-general-spacetimes
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:gravitational-radiation-in-general-spacetimes
https://www.carmin.tv/fr/video/gravitational-radiation-in-general-spacetimes
Gravitational Radiation in General Spacetimes
video/mp4
IHES
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Lydia Bieri
Gravitational waves, spacetimes, radiation, null infinity, dynamics of general asymptotically flat systems, Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-bieri-video--4fd6d3a330cec29de476f07bb2fd3a16.jpg
oai:carmin.tv:modeling-the-many-microbes-inside-us
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:modeling-the-many-microbes-inside-us
https://www.carmin.tv/fr/video/modeling-the-many-microbes-inside-us
Modeling the Many Microbes Inside Us
video/mp4
IHES
Microbial communities, from plankton to the human microbiome, present similar community structures. They are for instance composed of many rare species and a few abundant ones. How a large number of species can coexist in those complex communities and why they are dominated by rare species is still not fully understood. Those communities also present similar dynamical behavior. To study the dynamics of microbial communities, we analyzed the properties of various experimental time series and looked for their common characteristics. We investigated whether the most popular model for ecosystem modeling, namely the (stochastic) generalized Lotka-Volterra models, could reproduce those properties. We showed that this is the case upon certain conditions. In particular, the noise in the growth rates of the various species should be large, meaning that environmental noise is dominant at the observed timescale. Moreover, we showed that if we add a global maximal capacity, representing the limited available resources, the heavy-tailed abundance distributions arise as an emergent property. The long-term goal in the field is to build predictive dynamical models, and eventually to be able to control community composition - and especially to understand how to restore healthy flora in case of disease.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Sophie De Buyl
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-debuyl-video--c377aa770b317eee3fa8c1ea2a78214d.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3994/debuyl-sophie.pdf
oai:carmin.tv:discrete-gravity
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:discrete-gravity
https://www.carmin.tv/fr/video/discrete-gravity
Discrete Gravity
video/mp4
IHES
We assume that the points in volumes smaller than an elementary volume (which may have a Planck size) are indistinguishable in any physical experiment. This naturally leads to a picture of a discrete space with a finite number of degrees of freedom per elementary volume. In such discrete spaces, each elementary cell is completely characterized by displacement operators connecting a cell to the neighboring cells and by the spin connection. We define the torsion and curvature of the discrete spaces and show that in the limiting case of vanishing elementary volume the standard results for the continuous curved differentiable manifolds are completely reproduced.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Viatcheslav Mukhanov
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-mukhanov-video--e11d984d5d3e113e0e4a5bb6791259f3.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4015/Mukhanov-Viatcheslav.pdf
oai:carmin.tv:an-intriguing-puzzle-and-its-happy-resolution
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:an-intriguing-puzzle-and-its-happy-resolution
https://www.carmin.tv/fr/video/an-intriguing-puzzle-and-its-happy-resolution
An Intriguing Puzzle and its Happy Resolution
video/mp4
IHES
At the end of 2018, a result by Bern et al. on gravitational scattering at order G^3 raised an intriguing puzzle that got more and more embarrassing for about 20 months. Its eventual resolution made everyone, and particularly Thibault, happy. I will give a brief account of that amusing story.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Gabriele Veneziano
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-veneziano-video--91bb65a824117d2ced21fe7a9d2efb61.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3999/Veneziano_Gabriele.pdf
oai:carmin.tv:cosmic-strings-and-spinning-black-hole
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:cosmic-strings-and-spinning-black-hole
https://www.carmin.tv/fr/video/cosmic-strings-and-spinning-black-hole
Cosmic Strings and Spinning Black Hole
video/mp4
IHES
A large cosmic string loop captured by a much smaller black hole oscillates on a nearly periodic orbit. The orbit slowly evolves due to energy and angular momentum exchange between the loop and the black hole. For a non-rotating black hole, the loop gradually loses its energy due to the friction of the moving string against the horizon. But for a spinning black hole, the loop energy can greatly increase by extracting the rotational energy of the black hole. The loop evolution is mathematically equivalent to the continuous deformation of a curve in 3D, described by a simple equation. We explore possible asymptotic states of this evolution and show that they are strong emitters of gravitational waves. Finally, we find that string loops are very likely to be captured by supermassive black holes at galactic centers for a wide range of string parameters.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Alex Vilenkin
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-vilenkin-video--589b5a82b54fbb568e330687e2590a27.jpg
oai:carmin.tv:complex-metrics-on-spacetime
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
videos:collection:fields-medallists-1990
oai:carmin.tv:complex-metrics-on-spacetime
https://www.carmin.tv/fr/video/complex-metrics-on-spacetime
Complex Metrics on Spacetime
video/mp4
IHES
For a variety of reasons, it seems necessary to consider complex saddle points in the "Euclidean'' approach to black hole thermodynamics. But what class of complex saddle points is physically sensible? That will be the subject of this talk.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Edward Witten
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-witten-video--1d89924a9e27a06e72f0fe514d1da845.jpg
oai:carmin.tv:ultrarelativistic-limit-of-gravity-spacelike-singularities-and-e-10
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:ultrarelativistic-limit-of-gravity-spacelike-singularities-and-e-10
https://www.carmin.tv/fr/video/ultrarelativistic-limit-of-gravity-spacelike-singularities-and-e-10
Ultrarelativistic Limit of Gravity, Spacelike Singularities and E(10)
video/mp4
IHES
Einstein's theory admits interesting limits with different causal structures obtained by letting the speed of light go to infinity (Galilean or "non-relativistic" limit) or to zero (Carrollian, or "ultrarelativistic" limit). In the latter case, instead of the hyperbolic partial differential equations of general relativity and the elliptic differential equations of Newton’s theory, the dynamical equations become ordinary differential equations with respect to time. The ultrarelativistic limit turns out to be relevant near spacelike (cosmological) singularities when spatial gradients become subdominant. The resulting differential equations possess a remarkable interpretation in terms of infinite-dimensional Kac-Moody algebras. The talk will discuss work pursued in collaboration with Thibault Damour on this topic, as well as some aspects of Carroll invariant theories.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Marc Henneaux
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-henneaux-video--3f4fb5557a3d7fd3121cf53282584bd9.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4018/Henneaux-Marc.pdf
oai:carmin.tv:e10-and-the-wave-function-of-the-universe
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:e10-and-the-wave-function-of-the-universe
https://www.carmin.tv/fr/video/e10-and-the-wave-function-of-the-universe
E10 and the Wave Function of the Universe
video/mp4
IHES
In attempts to formulate a unified theory of quantum gravity and the fundamental interactions of the maximal rank, hyperbolic Kac-Moody algebra E10 plays a distinguished role. In this talk, I will touch on selected aspects of recent work in this direction (much of which has been advanced and inspired by Thibault) and review some of the outstanding issues.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Hermann Nicolai
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-nicolai-video--5f97951ee0b3e127b5778e456ca249d7.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4016/Nicolai-Hermann.pdf
oai:carmin.tv:black-holes-and-wormholes-in-semiclassical-gravity
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:black-holes-and-wormholes-in-semiclassical-gravity
https://www.carmin.tv/fr/video/black-holes-and-wormholes-in-semiclassical-gravity
Black Holes and Wormholes in Semiclassical Gravity
video/mp4
IHES
In this talk, I will discuss whether the black hole metric remains to be a solution of gravitational equations provided the classical gravitational action is modified by the generally non-local terms after integrating out the quantum matter. The story appears to be dramatically different for the Hartle-Hawking state and for the Boulware state. The discussion will be based on the analysis of the 2d RST model and the 4d theory with a CFT as the quantum matter.
2021-10-13T00:00:00+02:00
Mandarine Audiovisuel
Sergey Solodukhin
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-13-solodukhin-video--a59f812ca893b4223d3422384095685c.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4017/Solodukhin-Sergey.pdf
oai:carmin.tv:analytical-and-numerical-relativity-modeling-of-gravitational-waves-from-neutron-star-mergers-and-so
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:analytical-and-numerical-relativity-modeling-of-gravitational-waves-from-neutron-star-mergers-and-so
https://www.carmin.tv/fr/video/analytical-and-numerical-relativity-modeling-of-gravitational-waves-from-neutron-star-mergers-and-so
Analytical and numerical relativity modeling of gravitational waves from neutron star mergers (and Some Highlights from Binary Black Holes)
video/mp4
IHES
Ground-based gravitational-wave observations of binary neutron stars (BNS) can, in principle, uncover the entire coalescence process spanning from the low-frequencies (few Hz, low-velocities) inspiral motion to the high-frequencies merger and remnant dynamics (in the kiloHertz regime). These observations hold the promise to deliver unprecedent insights on fundamental aspects of physics and astrophysics, as for example the nature of matter at extreme densities. The main part of this talk summarizes recent efforts towards modeling the complete BNS gravitational-wave spectrum, highlighting current and future application of the model in gravitational-wave astronomy. The last part of the talk reports on recent advances in modeling gravitational-waves from binary black holes (BBH) mergers using the same analytical/numerical relativity approach. The main results concern the construction of faithful waveform models from generic-orbits mergers and a Bayesian analysis of GW190521 that supports the possible first detection of a BBH dynamical encounter in astrophysical context.
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Sebastiano Bernuzzi
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-bernuzzi-video--effa6bc4ce58cafd7ee8696ff2a67b6e.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/3991/Bernuzzi.pdf
oai:carmin.tv:adventures-in-post-newtonian-theory
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:adventures-in-post-newtonian-theory
https://www.carmin.tv/fr/video/adventures-in-post-newtonian-theory
Adventures in Post-Newtonian Theory
video/mp4
IHES
The post-Newtonian approximation to general relativity plays a paramount role in the discovery of gravitational waves by LIGO and Virgo. In this talk, we highlight the seminal contributions from Thibault and review the latest developments concerning the definition of accurate PN templates for gravitational waves.
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Luc Blanchet
Gravitational waves, post-Newtonian equations of motion, Hulse-Taylor binary pulsar, exoplanets, MPM formalism, Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-blanchet-video--baffd9462f19e4530746947326adcda1.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4011/blanchet-luc.pdf
oai:carmin.tv:introductory-address
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:introductory-address
https://www.carmin.tv/fr/video/introductory-address
Introductory Address
video/mp4
IHES
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Jean-Pierre Bourguignon
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-bourguignon-video--5089f3b39ff962658d489318945b8bde.jpg
oai:carmin.tv:the-effective-one-body-approach-to-the-relativistic-two-body-problem-from-birth-to-adulthood
2021-12-16T11:14:27+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:the-effective-one-body-approach-to-the-relativistic-two-body-problem-from-birth-to-adulthood
https://www.carmin.tv/fr/video/the-effective-one-body-approach-to-the-relativistic-two-body-problem-from-birth-to-adulthood
The Effective-One-Body Approach to the Relativistic Two-Body Problem: from Birth to Adulthood
video/mp4
IHES
After reviewing my adventures in gravitation at IHES in 1997-1999, and the original motivations that led to the development of the effective-one-body formalism, I will discuss the path that guided the development of highly accurate waveform models for LIGO-Virgo's searches and inference studies, including the synergistic interplay between analytical and numerical relativity. I will conclude with highlights on the science that these waveform models have unveiled, focusing on the latest LIGO-Virgo’s observing run.
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Alessandra Buonanno
Gravitational waves, LIGO, VIRGO, binary systems, effective-one-body formalism, EOB waveforms, Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-buonanno-video--5da1242753b8ab40f8de391750b4aaa4.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4030/buonanno-alessandra.pdf
oai:carmin.tv:hommage-a-thibault-some-old-lessons-from-gr
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:hommage-a-thibault-some-old-lessons-from-gr
https://www.carmin.tv/fr/video/hommage-a-thibault-some-old-lessons-from-gr
Hommage à Thibault : "Some Old Lessons from GR"
video/mp4
IHES
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Stanley Deser
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-deser-video--3860540e275e052c479ff3198d4092e3.jpg
oai:carmin.tv:turbulence-in-one-dimension
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:turbulence-in-one-dimension
https://www.carmin.tv/fr/video/turbulence-in-one-dimension
Turbulence in One Dimension
video/mp4
IHES
I will discuss toy models of turbulence which allow to clarify this concept, find a non-Gaussian probability distribution, and establish connections between turbulence, anomalies, and general covariance
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Alexander Polyakov
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-polyakov-video--535064db968e814a8658d760cdb30331.jpg
oai:carmin.tv:the-path-forward-for-gravitational-wave-astrophysics
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:damour-fest-adventures-in-gravitation
oai:carmin.tv:the-path-forward-for-gravitational-wave-astrophysics
https://www.carmin.tv/fr/video/the-path-forward-for-gravitational-wave-astrophysics
The Path Forward for Gravitational-wave Astrophysics
video/mp4
IHES
The spectacular observation of a wide variety of gravitational-wave sources by Virgo and LIGO has established the field of gravitational-wave astronomy both stand-alone and as an element in multi-messenger astrophysics. There is, however, the clear motivation from the perspective of observational science and also evident paths technically to make significant steps forward in the extent of reach and breadth of frequency. As a diversion from a rich palette of explorations of theory, I’ll talk a bit about the roadmap for the field of observations of gravitational waves.
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
David Shoemaker
Researchers
en
Damour Fest: Adventures in Gravitation / A conference in honor of Thibault Damour / Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES) / 12/10/2021 - 15/10/2021 / https://indico.math.cnrs.fr/event/6802/
https://www.carmin.tv/uploads/video/2021-10-12-shoemaker-video--ff9062ff2f1b7b88a19d7761a219725b.jpg
https://indico.math.cnrs.fr/event/6802/attachments/3082/4026/Shoemaker-David.pdf
oai:carmin.tv:4-4-algebraic-representations-of-ergodic-actions
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:uri-bader-algebraic-representations-of-ergodic-actions
oai:carmin.tv:4-4-algebraic-representations-of-ergodic-actions
https://www.carmin.tv/fr/video/4-4-algebraic-representations-of-ergodic-actions
4/4 Algebraic Representations of Ergodic Actions
video/mp4
IHES
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this theory extends the focus of Representation Theory from Groups to Group Actions, exploiting the tension between Ergodic Theory and Algebraic Geometry. In this series of talks I will introduce this theory and survey some of its applications, focusing on Superrigidity and Arithmeticity results.
2021-10-14T00:00:00+02:00
Mandarine Audiovisuel
Uri Bader
Researchers, Graduate Students
en
Uri Bader - Algebraic Representations of Ergodic Actions / 05/10/2021 - 14/10/2021
https://www.carmin.tv/uploads/video/YouTube_Playlist_21_bader4-video--1a307601e3d96d760ceee7ff77077cc4.jpg
oai:carmin.tv:quantum-lorentz-gas-in-the-boltzmann-grad-limit-random-vs-periodic
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:quantum-lorentz-gas-in-the-boltzmann-grad-limit-random-vs-periodic
https://www.carmin.tv/fr/video/quantum-lorentz-gas-in-the-boltzmann-grad-limit-random-vs-periodic
Quantum Lorentz gas in the Boltzmann-Grad limit: random vs periodic
video/mp4
IHES
A major challenge in the kinetic theory of gases is to establish the convergence of the dynamics to a macroscopic transport process described by the appropriate kinetic equation. In the case of the quantum Lorentz gas with random potentials, important studies of Spohn, Erdos-Yau, Eng-Erdos and others have identified the linear Boltzmann equation as the correct limit. In this lecture I will discuss periodic potentials in the Boltzmann-Grad scaling, and report on a new limiting random process which is incompatible with the linear Boltzmann equation. Based on joint work with Jory Griffin (Oklahoma), J. Stat. Phys. 184 (2021).
2021-10-08T00:00:00+02:00
Mandarine Audiovisuel
Jens Marklof
Lorentz Gas, kinetic transport
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-08-marklof-video--e77cee4a459fdf7a727b10a85731beb2.jpg
oai:carmin.tv:bose-gases-at-positive-temperature-and-non-linear-gibbs-measures
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:bose-gases-at-positive-temperature-and-non-linear-gibbs-measures
https://www.carmin.tv/fr/video/bose-gases-at-positive-temperature-and-non-linear-gibbs-measures
Bose gases at positive temperature and non-linear Gibbs measures
video/mp4
IHES
I shall discuss a certain mean-field limit for the positive temperature equilibria (Gibbs states) of the interacting Bose gas. This serves as a toy model for the understanding of the phase transition towards a Bose-Einstein condensate when the temperature is lowered. The limit model we rigorously derive is a classical field theory, based on a certain non-linear Gibbs measure. The latter is a natural invariant of the non-linear Schrödinger equation approximating the dynamics of the Bose gas. It is also the basic ingredient of the Euclidean approach to constructive quantum field theory, as well as the large-time asymptote for the stochastic non-linear heat equation. A difficulty is that this non-linear Gibbs measure lives on low regularity distributional spaces, so that the non-linearity has to be understood in a renormalized sense. I shall put emphasis on the control of the renormalization procedure at the level of the quantum many-body model.
Based on joint work with Mathieu Lewin and Phan Thành Nam
2021-10-08T00:00:00+02:00
Mandarine Audiovisuel
Nicolas Rougerie
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-08-rougerie-video--01b876bdeb2704ea909ef0aa4ea72d64.jpg
oai:carmin.tv:invariance-principle-for-random-lorentz-type-gasbeyond-kinetics-limit
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:invariance-principle-for-random-lorentz-type-gasbeyond-kinetics-limit
https://www.carmin.tv/fr/video/invariance-principle-for-random-lorentz-type-gasbeyond-kinetics-limit
Invariance principle for random Lorentz (type) gasbeyond kinetics limit
video/mp4
IHES
I will present a survey of invariance principles for the Lorentz gas and some related models, in a scaling regime going beyond the Boltzmann-Grad limit.
2021-10-08T00:00:00+02:00
Mandarine Audiovisuel
Bálint Tóth
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-08-toth-video--49fee82360574950ff4bcf7a2dc4c98e.jpg
oai:carmin.tv:duality-intertwining-and-orthogonal-polynomials-for-continuum-interacting-particle-systems
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:duality-intertwining-and-orthogonal-polynomials-for-continuum-interacting-particle-systems
https://www.carmin.tv/fr/video/duality-intertwining-and-orthogonal-polynomials-for-continuum-interacting-particle-systems
Duality, intertwining and orthogonal polynomials for continuum interacting particle systems
video/mp4
IHES
Duality is a powerful tool for studying interacting particle systems, i.e., continuous-time Markov processes describing many particles say on the lattice Zd. In recent years interesting dualities have been proven that involve falling factorials and orthogonal polynomials; the orthogonality measure is the reversible measure of the Markov process. I'll address generalizations to particles moving in the continuum rather than on the lattice. Examples include independent diffusions and free Kawasaki, which have been investigated before, and a continuum version of the symmetric inclusion process, which is new. The falling factorials turn out to be related to Lenard's K-transform. The relevant notion of orthogonal polynomials belongs to infinite-dimensional analysis, chaos decompositions and multiple stochastic integrals. The talk is based on joint work with Simone Floreani and Frank Redig (TU Delft) and Stefan Wagner (LMU Munich).
2021-10-07T00:00:00+02:00
Mandarine Audiovisuel
Sabine Jansen
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-07-jansen-video--82a612446ca7384e48c4a7730614534d.jpg
oai:carmin.tv:2-2-large-scale-limits-for-quantum-gases
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:mathieu-lewin-large-scale-limits-for-quantum-gases
oai:carmin.tv:2-2-large-scale-limits-for-quantum-gases
https://www.carmin.tv/fr/video/2-2-large-scale-limits-for-quantum-gases
2/2 Large-Scale Limits for Quantum Gases
video/mp4
IHES
2021-10-07T00:00:00+02:00
Mandarine Audiovisuel
Mathieu Lewin
en
Mathieu Lewin - Large-Scale Limits for Quantum Gases / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-07-lewin-2-video--ad5eeeb64112e213cacdc55464bd6dda.jpg
oai:carmin.tv:understanding-entropy-without-probability
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:understanding-entropy-without-probability
https://www.carmin.tv/fr/video/understanding-entropy-without-probability
Understanding Entropy without Probability
video/mp4
IHES
In 1856, Rudolf Clausius coined the word entropy as a suitable name for what he had been calling the "transformational content of a body". The new word made it possible to state the second law of thermodynamics in the brief but alarming form: "The entropy of the universe tends toward a maximum." Thus, entropy is originally related to possible changes, not to chaos and probability as in subsequent work by Boltzmann and Gibbs.
In the talk, I shall discuss a modern version of this view on entropy developed in joint work with Elliott Lieb. The key concept is a relation, called adiabatic accessibility, between pairs of states of macroscopic bodies. It will be explained how an essentially unique entropy emerges from a few simple properties of this relation.
2021-10-07T00:00:00+02:00
Mandarine Audiovisuel
Jakob Yngvason
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-07-yngvason-video--98c2536848ea1f02b8bb6af674389525.jpg
oai:carmin.tv:3-4-algebraic-representations-of-ergodic-actions
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:uri-bader-algebraic-representations-of-ergodic-actions
oai:carmin.tv:3-4-algebraic-representations-of-ergodic-actions
https://www.carmin.tv/fr/video/3-4-algebraic-representations-of-ergodic-actions
3/4 Algebraic Representations of Ergodic Actions
video/mp4
IHES
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this theory extends the focus of Representation Theory from Groups to Group Actions, exploiting the tension between Ergodic Theory and Algebraic Geometry. In this series of talks I will introduce this theory and survey some of its applications, focusing on Superrigidity and Arithmeticity results.
2021-10-12T00:00:00+02:00
Mandarine Audiovisuel
Uri Bader
Researchers, Graduate Students
en
Uri Bader - Algebraic Representations of Ergodic Actions / 05/10/2021 - 14/10/2021
https://www.carmin.tv/uploads/video/YouTube_Playlist_21_bader3-video--699223359a74b5db763e4e1764a95378.jpg
oai:carmin.tv:2-2-diagrammatic-expansions-and-renormalization-in-quantum-physics
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:manfred-salmhofer-diagrammatic-expansions-and-renormalization-in-quantum-physics
oai:carmin.tv:2-2-diagrammatic-expansions-and-renormalization-in-quantum-physics
https://www.carmin.tv/fr/video/2-2-diagrammatic-expansions-and-renormalization-in-quantum-physics
2/2 Diagrammatic Expansions and Renormalization in Quantum Physics
video/mp4
IHES
2021-10-07T00:00:00+02:00
Mandarine Audiovisuel
Manfred Salmhofer
en
Manfred Salmhofer - Diagrammatic Expansions and Renormalization in Quantum Physics / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-07-salmhofer-2-video--02cd882d1b951e33a0d6a3840aca7ddc.jpg
oai:carmin.tv:universal-behavior-of-bose-einstein-condensates-in-the-gross-pitaevskii-regime
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:universal-behavior-of-bose-einstein-condensates-in-the-gross-pitaevskii-regime
https://www.carmin.tv/fr/video/universal-behavior-of-bose-einstein-condensates-in-the-gross-pitaevskii-regime
Universal behavior of Bose-Einstein condensates in the Gross-Pitaevskii regime
video/mp4
IHES
We consider systems of N interacting bosons in the Gross-Pitaevskii limit, where both the range and the scattering length of the potential are of the order 1/N, and N tends to infinity. We present recent tools allowing to determine the low-energy spectrum up to errors that vanish in the limit of large N. As a result, we rigorously confirm the validity of Bogoliubov's 1947 theory, predicting the independence of the low energy behavior of dilute Bose gases on the fine details of the interaction. We finally discuss how this universality result also extends to different scaling regimes and dimensionalities.
Based on joint works with G. Basti, C. Boccato, C.Brennecke, C. Caraci, and B.Schlein.
2021-10-06T00:00:00+02:00
Mandarine Audiovisuel
Serena Cenatiempo
Bose-Einstein condensation, Bose gas
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-06-cenatiempo-video--38dba9bde1f79dd41eabf736f240813f.jpg
oai:carmin.tv:correlation-energy-of-a-weakly-interacting-fermi-gas
2021-12-16T14:40:05+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:correlation-energy-of-a-weakly-interacting-fermi-gas
https://www.carmin.tv/fr/video/correlation-energy-of-a-weakly-interacting-fermi-gas
Correlation energy of a weakly interacting Fermi gas
video/mp4
IHES
In this talk I will discuss the ground state properties of homogeneous, interacting Fermi gases, in the mean-field regime. In this regime, Hartree-Fock theory provides a good approximation for the ground state energy of the system; this approximation is based on the replacement of the space of fermionic wave functions with the smaller set of Slater determinants, where the only correlations among the particles are those induced by the Pauli principle. I will discuss a rigorous approach that allows to go beyond the Hartree-Fock approximation, and that in particular allows to compute the leading order of the correlation energy, defined as the difference between the many-body and Hartree-Fock ground state energies. The expression we obtain reproduces the ground state energy of a non-interacting Bose gas, and agrees with the prediction of the random-phase approximation. The proof is based on a rigorous bosonization method, that allows to describe the particle-hole excitations around the Fermi surface in terms of a quasi-free Bose gas. Joint work with N. Benedikter, P. T. Nam, B. Schlein and R. Seiringer.
2021-10-06T00:00:00+02:00
Mandarine Audiovisuel
Marcello Porta
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-06-porta-video--1341fc00a1f8c5f2123a6a4ea3f8ab68.jpg
oai:carmin.tv:from-a-stochastic-particle-system-to-the-bgk-equation
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:from-a-stochastic-particle-system-to-the-bgk-equation
https://www.carmin.tv/fr/video/from-a-stochastic-particle-system-to-the-bgk-equation
From a stochastic particle system to the BGK equation
video/mp4
IHES
I discuss the convergence of a stochastic particle system to the solutions of the BGK equation. Research in collaboration with M. Hauray and P. Butta.
2021-10-06T00:00:00+02:00
Mandarine Audiovisuel
Mario Pulvirenti
BGK equation
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-06-pulvirenti-video--28884f6f6dba9ec02c6fc65b532df1df.jpg
oai:carmin.tv:2-2-statistical-description-of-a-hard-sphere-gas-dynamics
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:laure-saint-raymond-statistical-description-of-a-hard-sphere-gas-dynamics
oai:carmin.tv:2-2-statistical-description-of-a-hard-sphere-gas-dynamics
https://www.carmin.tv/fr/video/2-2-statistical-description-of-a-hard-sphere-gas-dynamics
2/2 Statistical Description of a Hard Sphere Gas Dynamics
video/mp4
IHES
2021-10-06T00:00:00+02:00
Mandarine Audiovisuel
Laure Saint-Raymond
en
Laure Saint-Raymond - Statistical Description of a Hard Sphere Gas Dynamics / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-06-saintraymond-2-video--ea28199feeed0bb14a9c303ae5f7b53d.jpg
oai:carmin.tv:on-the-derivation-of-the-kinetic-wave-equation
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:on-the-derivation-of-the-kinetic-wave-equation
https://www.carmin.tv/fr/video/on-the-derivation-of-the-kinetic-wave-equation
On the Derivation of the Kinetic Wave Equation
video/mp4
IHES
The kinetic wave equation arises in weak wave turbulence theory. In this talk we are interested in its derivation as an effective equation from dispersive waves with quadratic and cubic nonlinearities for the microscopic description of a system (Nonlinear Schrodinger equations with random initial data). We will comment on space-homogeneous and inhomogeneous cases (equation on the torus and on the whole space). More precisely, we will consider such dispersive equations in a weakly nonlinear regime, and for highly oscillatory random Gaussian fields with localised enveloppes as initial data. A conjecture in statistical physics is that there exists a kinetic time scale on which, statistically, the energy spectrum of the solution evolves according to the kinetic wave equation.
I will present joint works with Ioakeim Ampatzoglou and Pierre Germain (Courant Institute, NYU), in which we approach the problem of the validity of this kinetic wave equation through the convergence and stability of the corresponding Dyson series. We are able to identify certain nonlinearities, dispersion relations, and regimes, for which the convergence indeed holds almost up to the kinetic time (arbitrarily small polynomial loss).
2021-10-05T00:00:00+02:00
Mandarine Audiovisuel
Charles Collot
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-05-collot-video--e6090f0ff9e2455384a6ef4256620cd8.jpg
oai:carmin.tv:1-2-large-scale-limits-for-quantum-gases
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:mathieu-lewin-large-scale-limits-for-quantum-gases
oai:carmin.tv:1-2-large-scale-limits-for-quantum-gases
https://www.carmin.tv/fr/video/1-2-large-scale-limits-for-quantum-gases
1/2 Large-Scale Limits for Quantum Gases
video/mp4
IHES
2021-10-05T00:00:00+02:00
Mandarine Audiovisuel
Mathieu Lewin
en
Mathieu Lewin - Large-Scale Limits for Quantum Gases / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-05-lewin-1-video--c1233398cea84525d65e099981d7e48c.jpg
oai:carmin.tv:derivation-of-the-vlasov-equation-different-types-of-convergence
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:large-scale-limits-of-interacting-particle-systems
oai:carmin.tv:derivation-of-the-vlasov-equation-different-types-of-convergence
https://www.carmin.tv/fr/video/derivation-of-the-vlasov-equation-different-types-of-convergence
Derivation of the Vlasov Equation : Different types of Convergence
video/mp4
IHES
The derivation of effective descriptions from microscopic dynamics is a very vivid area in mathematical physics. In the talk I will discuss a system of many particles with Newtonian time evolution that are subject to interaction. It is well known that in the weak coupling limit this system converges, under smoothness assumption on the interaction force, to a solution of the Vlasov equation. Weakening the types of convergence (convergence for all initial conditions → convergence in probability → convergence in distribution), the smoothness condition on the interaction can be generalized. In the talk I will present recent results in this direction and explain which types of convergence hold or do not hold under the different assumptions on the interaction force.
2021-10-05T00:00:00+02:00
Mandarine Audiovisuel
Peter Pickl
en
Large-scale limits of interacting particle systems / This workshop aims to gather researchers interested in rigorous methods for the study of scaling limits of interacting particle systems, and is structured around the following three 4-hour mini-courses:
Mathieu Lewin: Mean-field limits and Bose-Einstein condensation for quantum gases
Laure Saint-Raymond: Statistical description of a hard sphere gas dynamics
Manfred Salmhofer: Diagrammatic expansions and renormalization in quantum dynamics
The workshop also includes a special lecture:
Jakob Yngvason: Understanding Entropy without Probability
as well as talks by Serena Cenatiempo, Charles Collot, Sabine Jansen, Jens Marklof, Peter Pickl, Marcello Porta, Mario Pulvirenti, Nicolas Rougerie, Bálint Tóth. / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-05-pickl-video--21527d7482dd2ac0ddf602a342ef9603.jpg
oai:carmin.tv:1-2-diagrammatic-expansions-and-renormalization-in-quantum-physics
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:manfred-salmhofer-diagrammatic-expansions-and-renormalization-in-quantum-physics
oai:carmin.tv:1-2-diagrammatic-expansions-and-renormalization-in-quantum-physics
https://www.carmin.tv/fr/video/1-2-diagrammatic-expansions-and-renormalization-in-quantum-physics
1/2 Diagrammatic Expansions and Renormalization in Quantum Physics
video/mp4
IHES
2021-10-05T00:00:00+02:00
Mandarine Audiovisuel
Manfred Salmhofer
en
Manfred Salmhofer - Diagrammatic Expansions and Renormalization in Quantum Physics / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-05-salmhofer-1-video--7ddb3d3faa63cc028e43fd0336bba213.jpg
oai:carmin.tv:1-2-statistical-description-of-a-hard-sphere-gas-dynamics
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:laure-saint-raymond-statistical-description-of-a-hard-sphere-gas-dynamics
oai:carmin.tv:1-2-statistical-description-of-a-hard-sphere-gas-dynamics
https://www.carmin.tv/fr/video/1-2-statistical-description-of-a-hard-sphere-gas-dynamics
1/2 Statistical Description of a Hard Sphere Gas Dynamics
video/mp4
IHES
2021-10-04T00:03:00+02:00
Mandarine Audiovisuel
Laure Saint-Raymond
en
Laure Saint-Raymond - Statistical Description of a Hard Sphere Gas Dynamics / Mitia Duerinckx, Sergio Simonella, and Raphael Winter / 04/10/2021 - 08/10/2021 / http://homepages.ulb.ac.be/~mduerinc/workshop'21.html
https://www.carmin.tv/uploads/video/2021-10-04-saintraymond-1-video--ee06bad46cbd1103e4a843e94589f029.jpg
oai:carmin.tv:2-4-algebraic-representations-of-ergodic-actions
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:uri-bader-algebraic-representations-of-ergodic-actions
oai:carmin.tv:2-4-algebraic-representations-of-ergodic-actions
https://www.carmin.tv/fr/video/2-4-algebraic-representations-of-ergodic-actions
2/4 Algebraic Representations of Ergodic Actions
video/mp4
IHES
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this theory extends the focus of Representation Theory from Groups to Group Actions, exploiting the tension between Ergodic Theory and Algebraic Geometry. In this series of talks I will introduce this theory and survey some of its applications, focusing on Superrigidity and Arithmeticity results.
2021-10-07T00:00:00+02:00
Mandarine Audiovisuel
Uri Bader
Researchers, Graduate Students
en
Uri Bader - Algebraic Representations of Ergodic Actions / 05/10/2021 - 14/10/2021
https://www.carmin.tv/uploads/video/YouTube_Playlist_21_bader2-video--0fd0051a94a87e67f0aaf4c26b23fc4a.jpg
oai:carmin.tv:1-4-algebraic-representations-of-ergodic-actions
2021-12-16T11:14:27+01:00
videos:institution:ihes
videos:collection:uri-bader-algebraic-representations-of-ergodic-actions
oai:carmin.tv:1-4-algebraic-representations-of-ergodic-actions
https://www.carmin.tv/fr/video/1-4-algebraic-representations-of-ergodic-actions
1/4 Algebraic Representations of Ergodic Actions
video/mp4
IHES
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this theory extends the focus of Representation Theory from Groups to Group Actions, exploiting the tension between Ergodic Theory and Algebraic Geometry. In this series of talks I will introduce this theory and survey some of its applications, focusing on Superrigidity and Arithmeticity results.
2021-10-05T00:00:00+02:00
Mandarine Audiovisuel
Uri Bader
Researchers, Graduate Students
en
Uri Bader - Algebraic Representations of Ergodic Actions / 05/10/2021 - 14/10/2021
https://www.carmin.tv/uploads/video/YouTube_Playlist_21_bader1-video--19f9d2d913e3cd2faeea18428e3bbe36.jpg
oai:carmin.tv:subgroups-of-direct-products-of-surface-groups
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:subgroups-of-direct-products-of-surface-groups
https://www.carmin.tv/fr/video/subgroups-of-direct-products-of-surface-groups
Subgroups of direct products of surface groups
video/mp4
IHES
After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finiteness properties and are not of Stallings-Bieri type.
2021-09-01T00:00:00+02:00
Mandarine Audiovisuel
Martin Bridson
surface groups, subgroup, Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-09-01-Bridson-video--41631af8530d0a3903f726b8f1578e41.jpg
oai:carmin.tv:connections-between-hyperbolic-geometry-and-median-geometry
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:connections-between-hyperbolic-geometry-and-median-geometry
https://www.carmin.tv/fr/video/connections-between-hyperbolic-geometry-and-median-geometry
Connections between hyperbolic geometry and median geometry
video/mp4
IHES
The interest of median geometry comes from its connections with property (T) and a-T-menability and, in its discrete version, with the solution to the virtual Haken conjecture. In this talk I shall explain how groups endowed with various forms of hyperbolic geometry, from lattices in rank one simple groups to acylindrically hyperbolic groups, present various degrees of compatibility with median geometry. This is on joint work with Indira Chatterji and joint work with John Mackay.
2021-09-01T00:00:00+02:00
Mandarine Audiovisuel
Cornelia Drutu
property (T), Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-09-01-Drutu-video--2a531e98c09bdac843b04ae07ae1a4d2.jpg
oai:carmin.tv:automorphisms-of-groups-and-a-higher-rank-jsj-decomposition
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:automorphisms-of-groups-and-a-higher-rank-jsj-decomposition
https://www.carmin.tv/fr/video/automorphisms-of-groups-and-a-higher-rank-jsj-decomposition
Automorphisms of groups and a higher rank JSJ decomposition
video/mp4
IHES
The JSJ (for groups) was originally constructed to study the automorphisms and the cyclic splittings of a (torsion-free) hyperbolic group. Such a structure theory was needed to complete the solution of the isomorphism problem for (torsion-free) hyperbolic groups.
Later, the JSJ was generalized to all finitely presented groups. In this generality it encodes the splittings but not all the automorphisms.
We further generalize the JSJ decomposition to study automorphisms of groups that act on products of hyperbolic spaces, and more generally to study automorphisms of (some) hierarchically hyperbolic groups (e.g. right angled Artin groups). The object that we construct can be viewed as a higher rank JSJ decomposition.
2021-09-01T00:00:00+02:00
Mandarine Audiovisuel
Zlil Sela
hyperbolic groups, Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-09-01-Sela-video--bdfa94c33a61e546b2c35d1da177bba0.jpg
oai:carmin.tv:still-unsolved-problems
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
videos:collection:abel-prize
oai:carmin.tv:still-unsolved-problems
https://www.carmin.tv/fr/video/still-unsolved-problems
Still unsolved problems
video/mp4
IHES
2021-08-31T00:00:00+02:00
Mandarine Audiovisuel
Mikhail Gromov
Negative curvature, Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-31-Gromov-video--406ed86d98512a0f1f9993c62de5c5e6.jpg
oai:carmin.tv:positivity-in-flag-manifolds-and-positive-representations
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:positivity-in-flag-manifolds-and-positive-representations
https://www.carmin.tv/fr/video/positivity-in-flag-manifolds-and-positive-representations
Positivity in flag manifolds and positive representations
video/mp4
IHES
This talk is based on joint works with Anna Wienhard and François Labourie.
In a number of situations, an action on a flag manifold is well controlled via a structure mimicking the orientability of the circle. After reviewing the classical examples of such structures, we will propose an axiomatization of them leading to a complete classification. We will then describe some properties of corresponding positive actions or representations.
2021-08-31T00:00:00+02:00
Mandarine Audiovisuel
Olivier Guichard
Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-31-Guichard-video--82e8d4a31910422bbd76c653d698c663.jpg
oai:carmin.tv:measure-equivalence-rigidity-for-out-fn-and-dynamical-decomposition
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:measure-equivalence-rigidity-for-out-fn-and-dynamical-decomposition
https://www.carmin.tv/fr/video/measure-equivalence-rigidity-for-out-fn-and-dynamical-decomposition
Measure equivalence rigidity for Out(Fn) and dynamical decomposition
video/mp4
IHES
Measure equivalence is a measurable analogue of quasi-isometry. For instance, two lattices (co-compact or not) in a same Lie group are measurably equivalent by definition. We prove that for N bigger or equal than 3, any countable group that is measure equivalent to Out(Fn) is virtually isomorphic to it. I will discuss some of the tools introduced for this proof, and in particular, a notion of a canonical dynamic decomposition associated to a subgroup of which somehow generalizes the dynamical decomposition of a surface associated to a subgroup of Out(Fn) the mapping class group.
This is a joint work with Camille Horbez.
2021-08-31T00:00:00+02:00
Mandarine Audiovisuel
Vincent Guirardel
rigidity, Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-31-Guirardel-video--aff040dd6e16645f09b2d9f6d37e82f1.jpg
oai:carmin.tv:asymptotic-dimension-of-graphs-of-polynomial-growth-and-systolic-inequalities
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:asymptotic-dimension-of-graphs-of-polynomial-growth-and-systolic-inequalities
https://www.carmin.tv/fr/video/asymptotic-dimension-of-graphs-of-polynomial-growth-and-systolic-inequalities
Asymptotic dimension of graphs of polynomial growth and systolic inequalities
video/mp4
IHES
Asymptotic dimension and n-Uryson width are useful notions of dimension in coarse and systolic geometry respectively. I will explain how using similar techniques one obtains:
1. Sharp estimates for the asymptotic dimension of graphs of polynomial growth
2. A new proof of a theorem of Guth on the n-Uryson width of Riemannian manifolds of small volume growth. This leads to new proof of Gromov's systolic inequality.
2021-08-31T00:00:00+02:00
Mandarine Audiovisuel
Panagiotis Papasoglu
Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-31-Papasoglu-video--3b7b775e27ec26f027236f2f9b435df1.jpg
oai:carmin.tv:random-foldings-of-pentagons
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:random-foldings-of-pentagons
https://www.carmin.tv/fr/video/random-foldings-of-pentagons
Random foldings of pentagons
video/mp4
IHES
Start with a pentagon in the euclidean plane, and consider the space of all pentagons with the same side lengths up to euclidean motion. This space is the real part of some K3 surface. Folding the pentagons along their diagonals, one obtains involutive automorphism of this K3 surface. I will describe the main dynamical properties of the group generated by these involutions. This is based on a joint work with Romain Dujardin.
2021-08-30T00:00:00+02:00
Mandarine Audiovisuel
Serge Cantat
K3 surfaces, Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-30-Cantat-video--8dc11261d897704b3c3df1c69bf0436c.jpg
oai:carmin.tv:action-of-groups-on-the-poisson-boundary
2021-12-16T11:14:27+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:action-of-groups-on-the-poisson-boundary
https://www.carmin.tv/fr/video/action-of-groups-on-the-poisson-boundary
Action of groups on the Poisson boundary
video/mp4
IHES
joint works with Vadim Kaimanovich and Josh Frisch
2021-08-30T00:00:00+02:00
Mandarine Audiovisuel
Anna Erschler
random walks, Poisson boundary, hyper-FC-centre
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-30-Erschler-video--1c888616331edf6963c4a9c21619974f.jpg
oai:carmin.tv:complex-geometry-and-higher-finiteness-properties-of-groups-1
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:geometry-in-non-positive-curvature-and-kahler-groups
oai:carmin.tv:complex-geometry-and-higher-finiteness-properties-of-groups-1
https://www.carmin.tv/fr/video/complex-geometry-and-higher-finiteness-properties-of-groups-1
Complex geometry and higher finiteness properties of groups
video/mp4
IHES
Following C.T.C. Wall, we say that a group $G$ is of type $F_n$ if it has a classifying space (a $K(G,1)$) whose n-skeleton is finite. When n=1 (resp. n=2) one recovers the condition of finite generation (resp. finite presentation). The study of examples of groups which are of type $F_{n-1}$ but not of type $F_n$ has a long history (Stallings, Bestvina-Brady, ...). One says that these examples of groups have exotic finiteness properties. In this talk I will explain how to use complex geometry to build new examples of groups with exotic finiteness properties. This is part of a joint work with F. Nicolas, which generalizes earlier works by Dimca, Papadima and Suciu, Llosa Isenrich and Bridson and Llosa Isenrich.
2021-08-30T00:00:00+02:00
Mandarine Audiovisuel
Pierre Py
Researchers
en
Geometry in non-positive curvature and Kähler groups / A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions.
This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques. / Rémi Coulon, François Dahmani, Alexandre Martin / 30/08/2021 - 01/09/2021 / https://delzantfest.sciencesconf.org/resource/page/id/1
https://www.carmin.tv/uploads/video/2021-08-30-Py-video--6cc1c053326cc47ab1ff0cbb45f4f6b8.jpg
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-1-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:davesh-maulik-stable-pairs-and-gopakumar-vafa-invariants
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-1-5
https://www.carmin.tv/fr/video/stable-pairs-and-gopakumar-vafa-invariants-1-5
Stable Pairs and Gopakumar-Vafa Invariants 1/5
video/mp4
IHES
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via moduli of one-dimensional sheaves, emphasizing some examples where we can understand how they relate to curve-counting via stable pairs. If time permits, I will discuss some recent work on χ-independence phenomena in this setting (joint with J. Shen).
2021-07-12T00:00:00+02:00
Mandarine Audiovisuel
Davesh Maulik
Researchers, Graduate Students
en
Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-12-maulik1-video--05f3faa86f88aec21e3f4d7226ecbeed.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3778/Maulik_Course.pdf
oai:carmin.tv:vafa-witten-invariants-of-projective-surfaces-4-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:richard-thomas-vafa-witten-invariants-of-projective-surfaces
oai:carmin.tv:vafa-witten-invariants-of-projective-surfaces-4-5
https://www.carmin.tv/fr/video/vafa-witten-invariants-of-projective-surfaces-4-5
Vafa-Witten Invariants of Projective Surfaces 4/5
video/mp4
IHES
This course has 4 sections split over 5 lectures. The first section will be the longest, and hopefully useful for the other courses.
1. Sheaves, moduli and virtual cycles
2. Vafa-Witten invariants: stable and semistable cases
3. Techniques for calculation --- virtual degeneracy loci, cosection localisation and a vanishing theorem
4. Refined Vafa-Witten invariants
2021-07-08T00:00:00+02:00
Mandarine Audiovisuel
Richard Thomas
Researchers, Graduate Students
en
Richard Thomas - Vafa-Witten Invariants of Projective Surfaces / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-08-thomas4-video--8ad876781f5c8031f91f0eb02cc86427.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3743/Thomas_Course.pdf
oai:carmin.tv:bps-counting-and-pseudoperiodic-topology
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:summer-school-2021-enumerative-geometry-physics-and-representation-theory
videos:collection:fields-medallists-1998
oai:carmin.tv:bps-counting-and-pseudoperiodic-topology
https://www.carmin.tv/fr/video/bps-counting-and-pseudoperiodic-topology
BPS Counting and Pseudoperiodic Topology
video/mp4
IHES
A holomorphic quadratic differential on a complex curve defines a flat metric with conical singularities. In the case of simple zeroes, T. Bridgeland and I. Smith identified geodesic intervals connecting zeroes, as well as maximal geodesic cylinders, with stable objects in certain 3-dimensional Calabi-Yau category. As a corollary, the counting of such geodesics gives a wall-crossing structure in the Lie algebra of Hamiltonian vector fields on a symplectic algebraic torus.
I will explain that essentially the same numbers give wall-crossing structure in a different graded Lie algebra, of matrix-valued functions on an algebraic torus (joint work with Y. Soibelman). This WCS makes sense for curves endowed with abelian differentials with zeroes of arbitrary order and can be generalized to closed holomorphic 1-forms on complex varieties of arbitrary dimension.
2021-07-16T00:00:00+02:00
Mandarine Audiovisuel
Maxim Kontsevich
Researchers, Graduate Students
en
Summer School 2021: Enumerative Geometry, Physics and Representation Theory / The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.
This Summer School will focus on the following main subjects:
- counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
- gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
- applications of enumerative geometry to categorification and low-dimensional topology
- Hall algebras and their refined versions (cohomological, K-theoretic, derived categories) / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-16-kontsevich-video--94d573e6f69326792876bbbb1bba2ebc.jpg
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-5-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:davesh-maulik-stable-pairs-and-gopakumar-vafa-invariants
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-5-5
https://www.carmin.tv/fr/video/stable-pairs-and-gopakumar-vafa-invariants-5-5
Stable Pairs and Gopakumar-Vafa Invariants 5/5
video/mp4
IHES
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via moduli of one-dimensional sheaves, emphasizing some examples where we can understand how they relate to curve-counting via stable pairs. If time permits, I will discuss some recent work on χ-independence phenomena in this setting (joint with J. Shen).
2021-07-16T00:00:00+02:00
Mandarine Audiovisuel
Davesh Maulik
Researchers, Graduate Students
en
Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-16-maulik5-video--c8e6954741befdf452843ece573ca0fc.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3778/Maulik_Course.pdf
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-5-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:rahul-pandharipande-enumerative-geometry-of-curves-maps-and-sheaves
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-5-5
https://www.carmin.tv/fr/video/enumerative-geometry-of-curves-maps-and-sheaves-5-5
Enumerative Geometry of Curves, Maps, and Sheaves 5/5
video/mp4
IHES
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by the end, to explain recent progress on the Virasoro constraints on the sheaf side.
2021-07-16T00:00:00+02:00
Mandarine Audiovisuel
Rahul Pandharipande
Researchers, Graduate Students
en
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-16-pandharipande5-video--e8dd3a0b0de3d84eeee5c118c3640559.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3777/Groechenig_Talk.pdf
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-4-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:davesh-maulik-stable-pairs-and-gopakumar-vafa-invariants
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-4-5
https://www.carmin.tv/fr/video/stable-pairs-and-gopakumar-vafa-invariants-4-5
Stable Pairs and Gopakumar-Vafa Invariants 4/5
video/mp4
IHES
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via moduli of one-dimensional sheaves, emphasizing some examples where we can understand how they relate to curve-counting via stable pairs. If time permits, I will discuss some recent work on χ-independence phenomena in this setting (joint with J. Shen).
2021-07-15T00:00:00+02:00
Mandarine Audiovisuel
Davesh Maulik
Researchers, Graduate Students
en
Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-15-maulik4-video--5bfd0e05b9a9227ed93e44c0aa4ca603.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3778/Maulik_Course.pdf
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-4-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:rahul-pandharipande-enumerative-geometry-of-curves-maps-and-sheaves
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-4-5
https://www.carmin.tv/fr/video/enumerative-geometry-of-curves-maps-and-sheaves-4-5
Enumerative Geometry of Curves, Maps, and Sheaves 4/5
video/mp4
IHES
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by the end, to explain recent progress on the Virasoro constraints on the sheaf side.
2021-07-15T00:00:00+02:00
Mandarine Audiovisuel
Rahul Pandharipande
Researchers, Graduate Students
en
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-15-pandharipande4-video--4b04838b62b591c0504453ee545565ae.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3777/Groechenig_Talk.pdf
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-4-4
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:markus-reineke-cohomological-hall-algebras-and-motivic-invariants-for-quivers
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-4-4
https://www.carmin.tv/fr/video/cohomological-hall-algebras-and-motivic-invariants-for-quivers-4-4
Cohomological Hall Algebras and Motivic Invariants for Quivers 4/4
video/mp4
IHES
We motivate, define and study Donaldson-Thomas invariants and Cohomological Hall algebras associated to quivers, relate them to the geometry of moduli spaces of quiver representations and (in special cases) to Gromov-Witten invariants, and discuss the algebraic structure of Cohomological Hall algebras.
2021-07-15T00:00:00+02:00
Mandarine Audiovisuel
Markus Reineke
Researchers, Graduate Students
en
Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-15-reineke4-video--69ce1f95074cc3747eb149242cfef5ed.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3780/Reineke_Course.pdf
oai:carmin.tv:cohomology-of-affine-springer-fibres-and-centre-of-small-quantum-groups
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:summer-school-2021-enumerative-geometry-physics-and-representation-theory
oai:carmin.tv:cohomology-of-affine-springer-fibres-and-centre-of-small-quantum-groups
https://www.carmin.tv/fr/video/cohomology-of-affine-springer-fibres-and-centre-of-small-quantum-groups
Cohomology of Affine Springer Fibres and Centre of Small Quantum Groups
video/mp4
IHES
I will report some recent progress on relationship between cohomology of affine Springer fibres and centre of small quantum groups. This is based on joint work with R. Bezrukavnikov, P. Boixeda-Alvarez and E. Vasserot.
2021-07-15T00:00:00+02:00
Mandarine Audiovisuel
Peng Shan
Researchers, Graduate Students
en
Summer School 2021: Enumerative Geometry, Physics and Representation Theory / The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.
This Summer School will focus on the following main subjects:
- counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
- gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
- applications of enumerative geometry to categorification and low-dimensional topology
- Hall algebras and their refined versions (cohomological, K-theoretic, derived categories) / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-15-shan-video--045bd91374d49d7b9568aefc3340772d.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3782/Shan_Talk.pdf
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-3-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:davesh-maulik-stable-pairs-and-gopakumar-vafa-invariants
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-3-5
https://www.carmin.tv/fr/video/stable-pairs-and-gopakumar-vafa-invariants-3-5
Stable Pairs and Gopakumar-Vafa Invariants 3/5
video/mp4
IHES
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via moduli of one-dimensional sheaves, emphasizing some examples where we can understand how they relate to curve-counting via stable pairs. If time permits, I will discuss some recent work on χ-independence phenomena in this setting (joint with J. Shen).
2021-07-14T00:00:00+02:00
Mandarine Audiovisuel
Davesh Maulik
Researchers, Graduate Students
en
Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-14-maulik3-video--c9d65b958e101d42a2b9a7440cd8d69f.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3778/Maulik_Course.pdf
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-3-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:rahul-pandharipande-enumerative-geometry-of-curves-maps-and-sheaves
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-3-5
https://www.carmin.tv/fr/video/enumerative-geometry-of-curves-maps-and-sheaves-3-5
Enumerative Geometry of Curves, Maps, and Sheaves 3/5
video/mp4
IHES
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by the end, to explain recent progress on the Virasoro constraints on the sheaf side.
2021-07-14T00:00:00+02:00
Mandarine Audiovisuel
Rahul Pandharipande
Researchers, Graduate Students
en
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-14-pandharipande3-video--a4ed632831ff563917009c9b0fbb9ee6.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3777/Groechenig_Talk.pdf
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-3-4
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:markus-reineke-cohomological-hall-algebras-and-motivic-invariants-for-quivers
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-3-4
https://www.carmin.tv/fr/video/cohomological-hall-algebras-and-motivic-invariants-for-quivers-3-4
Cohomological Hall Algebras and Motivic Invariants for Quivers 3/4
video/mp4
IHES
We motivate, define and study Donaldson-Thomas invariants and Cohomological Hall algebras associated to quivers, relate them to the geometry of moduli spaces of quiver representations and (in special cases) to Gromov-Witten invariants, and discuss the algebraic structure of Cohomological Hall algebras.
2021-07-14T00:00:00+02:00
Mandarine Audiovisuel
Markus Reineke
Researchers, Graduate Students
en
Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-14-reineke3-video--102e6ac919be9357e576ae8930c897d2.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3780/Reineke_Course.pdf
oai:carmin.tv:stable-envelopes-bow-varieties-3d-mirror-symmetry
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:summer-school-2021-enumerative-geometry-physics-and-representation-theory
oai:carmin.tv:stable-envelopes-bow-varieties-3d-mirror-symmetry
https://www.carmin.tv/fr/video/stable-envelopes-bow-varieties-3d-mirror-symmetry
Stable Envelopes, Bow Varieties, 3d Mirror Symmetry
video/mp4
IHES
There are many bridges connecting geometry with representation theory. A key notion in one of these connections, defined by Maulik-Okounkov, Okounkov, Aganagic-Okounkov, is the "stable envelope (class)". The stable envelope fits into the story of characteristic classes of singularities as a 1-parameter deformation (ℏ) of the fundamental class of singularities. Special cases of the latter include Schubert classes on homogeneous spaces and Thom polynomials is singularity theory. While stable envelopes are traditionally defined for quiver varieties, we will present a larger pool of spaces called Cherkis bow varieties, and explore their geometry and combinatorics. There is a natural pairing among bow varieties called 3d mirror symmetry. One consequence is a ‘coincidence' between elliptic stable envelopes on 3d mirror dual bow varieties (a work in progress). We will also discuss the Legendre-transform extension of bow varieties (joint work with L. Rozansky), the geometric counterpart of passing from Yangian R-matrices of Lie algebras gl(n) to Lie superalgebras gl(n|m).
2021-07-14T00:00:00+02:00
Mandarine Audiovisuel
Richard Rimanyi
Researchers, Graduate Students
en
Summer School 2021: Enumerative Geometry, Physics and Representation Theory / The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.
This Summer School will focus on the following main subjects:
- counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
- gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
- applications of enumerative geometry to categorification and low-dimensional topology
- Hall algebras and their refined versions (cohomological, K-theoretic, derived categories) / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-14-rimanyi-video--61b0fc7da25721a21ceb1e4302605cc8.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3931/Rimanyi_Talk.pdf
oai:carmin.tv:complex-k-theory-of-dual-hitchin-systems
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:summer-school-2021-enumerative-geometry-physics-and-representation-theory
oai:carmin.tv:complex-k-theory-of-dual-hitchin-systems
https://www.carmin.tv/fr/video/complex-k-theory-of-dual-hitchin-systems
Complex K-theory of Dual Hitchin Systems
video/mp4
IHES
Let G and G’ be Langlands dual reductive groups (e.g. SL(n) and PGL(n)). According to a theorem by Donagi-Pantev, the generic fibres of the moduli spaces of G-Higgs bundles and G’-Higgs bundles are dual abelian varieties and are therefore derived-equivalent. It is an interesting open problem to prove existence of a derived equivalence over the full Hitchin base. I will report on joint work in progress with Shiyu Shen, in which we construct a K-theoretic shadow thereof: natural equivalences between complex K-theory spectra for certain moduli spaces of Higgs bundles (in type A).
2021-07-13T00:00:00+02:00
Mandarine Audiovisuel
Michael Groechenig
Researchers, Graduate Students
en
Summer School 2021: Enumerative Geometry, Physics and Representation Theory / The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.
This Summer School will focus on the following main subjects:
- counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
- gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
- applications of enumerative geometry to categorification and low-dimensional topology
- Hall algebras and their refined versions (cohomological, K-theoretic, derived categories) / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-13-groechenig-video--2df82c3ba6ee7a42dadade5a3a65b9a1.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3777/Groechenig_Talk.pdf
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-2-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:davesh-maulik-stable-pairs-and-gopakumar-vafa-invariants
oai:carmin.tv:stable-pairs-and-gopakumar-vafa-invariants-2-5
https://www.carmin.tv/fr/video/stable-pairs-and-gopakumar-vafa-invariants-2-5
Stable Pairs and Gopakumar-Vafa Invariants 2/5
video/mp4
IHES
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via moduli of one-dimensional sheaves, emphasizing some examples where we can understand how they relate to curve-counting via stable pairs. If time permits, I will discuss some recent work on χ-independence phenomena in this setting (joint with J. Shen).
2021-07-13T00:00:00+02:00
Mandarine Audiovisuel
Davesh Maulik
Researchers, Graduate Students
en
Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-13-maulik2-video--8cfa2e3369e78f3cf1e4237739e9d0a2.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3778/Maulik_Course.pdf
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-2-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:rahul-pandharipande-enumerative-geometry-of-curves-maps-and-sheaves
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-2-5
https://www.carmin.tv/fr/video/enumerative-geometry-of-curves-maps-and-sheaves-2-5
Enumerative Geometry of Curves, Maps, and Sheaves 2/5
video/mp4
IHES
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by the end, to explain recent progress on the Virasoro constraints on the sheaf side.
2021-07-13T00:00:00+02:00
Mandarine Audiovisuel
Rahul Pandharipande
Researchers, Graduate Students
en
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-13-pandharipande2-video--36e5a354ce81708d2601c412bb86c1eb.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3777/Groechenig_Talk.pdf
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-2-4
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:markus-reineke-cohomological-hall-algebras-and-motivic-invariants-for-quivers
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-2-4
https://www.carmin.tv/fr/video/cohomological-hall-algebras-and-motivic-invariants-for-quivers-2-4
Cohomological Hall Algebras and Motivic Invariants for Quivers 2/4
video/mp4
IHES
We motivate, define and study Donaldson-Thomas invariants and Cohomological Hall algebras associated to quivers, relate them to the geometry of moduli spaces of quiver representations and (in special cases) to Gromov-Witten invariants, and discuss the algebraic structure of Cohomological Hall algebras.
2021-07-13T00:00:00+02:00
Mandarine Audiovisuel
Markus Reineke
Researchers, Graduate Students
en
Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-13-reineke2-video--9e0cff24a66dc8e4c5b53ce2842aac7b.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3780/Reineke_Course.pdf
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-1-5
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:rahul-pandharipande-enumerative-geometry-of-curves-maps-and-sheaves
oai:carmin.tv:enumerative-geometry-of-curves-maps-and-sheaves-1-5
https://www.carmin.tv/fr/video/enumerative-geometry-of-curves-maps-and-sheaves-1-5
Enumerative Geometry of Curves, Maps, and Sheaves 1/5
video/mp4
IHES
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by the end, to explain recent progress on the Virasoro constraints on the sheaf side.
2021-07-12T00:00:00+02:00
Mandarine Audiovisuel
Rahul Pandharipande
Researchers, Graduate Students
en
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-12-pandharipande1-video--f4aa155a5e127dcf5eb2be151e0f13da.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3777/Groechenig_Talk.pdf
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-1-4
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:markus-reineke-cohomological-hall-algebras-and-motivic-invariants-for-quivers
oai:carmin.tv:cohomological-hall-algebras-and-motivic-invariants-for-quivers-1-4
https://www.carmin.tv/fr/video/cohomological-hall-algebras-and-motivic-invariants-for-quivers-1-4
Cohomological Hall Algebras and Motivic Invariants for Quivers 1/4
video/mp4
IHES
We motivate, define and study Donaldson-Thomas invariants and Cohomological Hall algebras associated to quivers, relate them to the geometry of moduli spaces of quiver representations and (in special cases) to Gromov-Witten invariants, and discuss the algebraic structure of Cohomological Hall algebras.
2021-07-12T00:00:00+02:00
Mandarine Audiovisuel
Markus Reineke
Researchers, Graduate Students
en
Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-12-reineke1-video--1822bbff7401469e8ad684d190958fd9.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3780/Reineke_Course.pdf
oai:carmin.tv:generalized-airy-functions-and-giventals-r-matrices-for-projective-spaces-and-wittens-class
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:summer-school-2021-enumerative-geometry-physics-and-representation-theory
oai:carmin.tv:generalized-airy-functions-and-giventals-r-matrices-for-projective-spaces-and-wittens-class
https://www.carmin.tv/fr/video/generalized-airy-functions-and-giventals-r-matrices-for-projective-spaces-and-wittens-class
Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class
video/mp4
IHES
We call generalized Airy functions particular solutions of the differential equations f(n)(x)=xaf(x). We show that asymptotic expansions of generalized Airy functions contain coefficients of Givental's R-matrices both for Gromov-Witten invariants of projective spaces and for Witten's r-spin classes. Joint work with Sybille Rosset.
2021-07-12T00:00:00+02:00
Mandarine Audiovisuel
Dimitri Zvonkine
Researchers, Graduate Students
en
Summer School 2021: Enumerative Geometry, Physics and Representation Theory / The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.
This Summer School will focus on the following main subjects:
- counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
- gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
- applications of enumerative geometry to categorification and low-dimensional topology
- Hall algebras and their refined versions (cohomological, K-theoretic, derived categories) / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-12-zvonkine-video--2c010536db3d3fed3be03367492f4d68.jpg
oai:carmin.tv:3d-susy-gauge-theory-and-quantum-groups-at-roots-of-unity
2021-12-15T20:42:12+01:00
videos:institution:ihes
videos:collection:summer-school-2021-enumerative-geometry-physics-and-representation-theory
oai:carmin.tv:3d-susy-gauge-theory-and-quantum-groups-at-roots-of-unity
https://www.carmin.tv/fr/video/3d-susy-gauge-theory-and-quantum-groups-at-roots-of-unity
3d SUSY Gauge Theory and Quantum Groups at Roots of Unity
video/mp4
IHES
Topological twists of 3d N=4 gauge theories naturally give rise to non-semisimple 3d TQFT's. In mathematics, prototypical examples of the latter were constructed in the 90's (by Lyubashenko and others) from representation categories of small quantum groups at roots of unity; they were recently generalized in work of Costantino-Geer-Patureau Mirand and collaborators. I will introduce a family of physical 3d quantum field theories that (conjecturally) reproduce these classic non-semisimple TQFT's. The physical theories combine Chern-Simons-like and 3d N=4-like sectors. They are also related to Feigin-Tipunin vertex algebras, much the same way that Chern-Simons theory is related to WZW vertex algebras.
(Based on work with T. Creutzig, N. Garner, and N. Geer.)
2021-07-09T00:00:00+02:00
Mandarine Audiovisuel
Tudor Dimofte
Researchers, Graduate Students
en
Summer School 2021: Enumerative Geometry, Physics and Representation Theory / The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.
This Summer School will focus on the following main subjects:
- counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
- gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
- applications of enumerative geometry to categorification and low-dimensional topology
- Hall algebras and their refined versions (cohomological, K-theoretic, derived categories) / Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov / 05/07/2021 - 16/07/2021 / https://indico.math.cnrs.fr/event/5382/
https://www.carmin.tv/uploads/video/2021-07-09-dimofte-video--ab69b9143b99b45459c8587540b28237.jpg
https://indico.math.cnrs.fr/event/5382/attachments/2589/3775/Dimofte_Talk.pdf
eyJwYWdlIjoxLCJzZXQiOiJ2aWRlb3M6aW5zdGl0dXRpb246aWhlcyIsIm1ldGFkYXRhUHJlZml4Ijoib2FpX2RjIn0=