Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Collection Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Organizer(s) Erik PANZER (University of Oxford) & Karen YEATS (University of Waterloo)

Date(s) 16/11/2020 - 20/11/2020

linked URL https://indico.math.cnrs.fr/event/4834/

00:00:00 / 00:00:00

22 28

Solvable Dyson-Schwinger Equations

By Raimar Wulkenhaar

quartic Kontsevich model

Dyson-Schwinger equations provide one of the most powerful non-perturbative approaches to quantum field theories. The quartic analogue of the Kontsevich model is a toy model for QFT in which the tower of Dyson-Schwinger equations splits into one non-linear equation for the planar two-point function and an infinite hierarchy of affine equations for all other functions. The non-linear equation admits a purely algebraic solution, identified through insight from perturbation theory. The affine equations turn out to be affiliated with (and solved by) a universal structure in complex algebraic geometry: blobbed topological recursion. As such they connect to the geometry of the moduli space of complex curves.

Information about the video

Date of recording 19/11/2020
Date of publication 29/11/2020
Institution IHES
Language English
Audience Researchers
Format MP4

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All the collection videos

50:32

published on November 29, 2020

Bogoliubov Type Recursions for Renormalisation in Regularity Structures

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46:55

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Geometrical Splitting and Reduction of N-point Feynman Diagrams

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50:36

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Wick Products and Combinatorial Hopf Algebras

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56:25

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Random Loops and T-algebras

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48:44

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Renormalization Hopf Algebras and Gauge Theories

By Walter Van Suijlekom

54:45

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Cointeracting Bialgebras

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59:12

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Categorical Interactions in Algebra, Geometry and Physics: Cubical Structures and Truncations

By Ralph Kaufmann

33:08

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On the enumerative structures in QFT

By Ali Assem Mahmoud

49:38

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On Multiple Zeta Values and their q-analogues

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59:33

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From Complementations on Lattices to Locality

By Sylvie Paycha

52:37

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Toric Hall Algebras and infinite-dimensional Lie algebras

By Matt Szczesny

54:57

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On a Theorem of Kreimer

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47:04

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Elliptic Curves Associated to Two-loop Graphs

By Spencer Bloch

56:46

published on November 29, 2020

Graph Complexes, Invariant Differential Forms and Feynman integrals

By Francis Brown

40:43

published on November 29, 2020

The Double Copy & Lie polynomials

By Hadleigh Frost

56:59

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Spaces of Graphs, Tori and Other Flat Gamma-complexes

By Karen Vogtmann

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Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

By Gerald Dunne

52:05

published on November 29, 2020

Generalized Gross-Neveu Universality Class with Non-abelian Symmetry

By John Gracey

$Solution of $\phi^4_4$ on the Moyal Space$
33:13

published on November 30, 2020

Solution of $\phi^4_4$ on the Moyal Space

By Alexander Hock

01:01:01

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Connes-Kreimer Hopf Algebras : from Renormalisation to Tensor Models and Topological Recursion

By Thomas Krajewski

52:48

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New Techniques for Worldline Integration

By Christian Schubert

50:13

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Solvable Dyson-Schwinger Equations

By Raimar Wulkenhaar

52:21

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Dirk Kreimer through my Looking Glass

By Marc Bellon

42:56

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Classical Gravity at High Precision

By Johannes Blümlein

55:08

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The Euler Characteristic of $Out(F_n)$ and the Hopf Algebra of Graphs

By Michael Borinsky

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Tasmanian Adventures

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Tree-like Equations from the Connes-Kreimer Hopf Algebra and the Combinatorics of Chord Diagrams

By Lukas Nabergall

01:00:06

published on November 30, 2020

2010-2020: a Decade of Quantum Computing

By Oliver Schnetz

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