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Vidéos (8189)
01:35:26

publiée le 4 juillet 2025

Introduction to the Physics of the KPZ Universality Class (3/3)

De Kazumasa Takeuchi

IHES

The Kardar-Parisi-Zhang (KPZ) class is a prominent universality class known to describe a surprising variety of models and phenomena, including growing interfaces, directed polymers in random media, stochastic particle transport, and most recently even quantum systems such as the ...

Apparaît dans la collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

01:39:42

publiée le 4 juillet 2025

Lecture 3: What is the Universal Scaling Limit of Random Interface Growth, and What Does It Tell Us?

De Ivan Corwin

IHES

KPZ scaling leads to a natural renormalization of the entire space-time trajectory of random interface growth models. What is the universal limit of this process? I will first introduce the KPZ fixed point and directed landscape which characterize this limit. Then, I will describe some ...

Apparaît dans la collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

01:33:44

publiée le 4 juillet 2025

Systems with Coulomb and Riesz Interactions (3/3)

De Sylvia Serfaty

IHES

We will focus on the statistical mechanics of large systems of particles with Coulomb or Riesz long-range repulsion, analyzed via an electrostatic formulation. Topics covered include: equilibrium measure, expansion of the free energy, limit point processes, fluctuations.

Apparaît dans la collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

01:36:35

publiée le 3 juillet 2025

Lecture 2: How do Boundary Conditions Influence Random Interface Growth?

De Ivan Corwin

IHES

In a sIn modeling real interface growth, there are several types of boundary conditions that can be imposed. In this lecture we will probe some of the predictions and results about how these boundary conditions influence the long-time behavior of interface growth. In particular, we will focus on ...

Apparaît dans la collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

01:01:00

publiée le 3 juillet 2025

Coulomb gas approach to conformal field theory and lattice models of 2D statistical physics

De Stanislav Smirnov

CIRM

Even before the introduction of Conformal Field Theory by Belavin, Polyakov and Zamolodchikov, it appeared indirectly in the work of den Nijs and Nienhuis using Coulomb gas techniques. The latter postulate (unrigorously) that height functions of lattice models of statistical mechanics (like ...

Apparaît dans la collection : Perfectly matched perspectives on statistical mechanics, combinatorics and geometry / Perspectives couplées sur la mécanique statistique, la combinatoire et la géométrie

01:39:17

publiée le 3 juillet 2025

Nonequilibrium Point Processes with Long-range Correlations Generated by Stochastic Resetting (3/3)

De Satya N. Majumdar

IHES

In this course, I'll first discuss briefly the equilibrium systems with long-range correlations (such as the log-gas or the Riesz gas in coordination with the course by S. Serfaty). Then the main emphasis of my course would be on nonequilibrium stationary states of many-body systems with ...

Apparaît dans la collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

28:37

publiée le 3 juillet 2025

Vertical coincidences of an elliptic curve defined over a number field

De Zoé Yvon

CIRM

Let $E/F$ be an elliptic curve over a number field $F$. For a prime $p$, the extension $F(E[p^k])/F$ generated by the coordinates of the $p^k$-torsion points, is finite and Galois. We consider when the coincidence $F(E[p^k])=F(E[p^{k+1}])$ holds. Daniels and Lozano-Robledo classified such ...

Apparaît dans la collection : AGCT 2025 - Arithmetic, Geometry, Cryptography and Coding Theory / AGCT 2025 - Arithmétique, Géométrie, Cryptographie et Théorie des Codes

52:28

publiée le 3 juillet 2025

Automorphism groups of algebraic curves in positive characteristic.

De Maria Montanucci

CIRM

Algebraic curves in positive characteristic and their function fields have been a source of great interest ever since the seminal work of Hasse and Weil in the 1930s and 1940s. Many important and fruitful ideas have arisen out of this area, where number theory and algebraic geometry meet, ...

Apparaît dans la collection : AGCT 2025 - Arithmetic, Geometry, Cryptography and Coding Theory / AGCT 2025 - Arithmétique, Géométrie, Cryptographie et Théorie des Codes
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