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

20 28

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

By Thomas Krajewski

At the turn of the millenium, Connes and Kreimer introduced Hopf algebras of trees and graphs in the context of renormalisation. We will show how the latter can be used to formulate the analogue of Virasoro constraints for random tensors, which are natural generalisations of random matrices. Motivated by this example, we will also sketch how these algebras appear in the formulation of topological recursion proposed by Kontsevich and Soibelman.

Information about the video

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

Domain(s)

Mathematical Physics

MSC codes

Document(s)

Slides

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All the collection videos

50:32

published on November 29, 2020

Bogoliubov Type Recursions for Renormalisation in Regularity Structures

By Yvain Bruned

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Geometrical Splitting and Reduction of N-point Feynman Diagrams

By Andrei Davydychev

50:36

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Wick Products and Combinatorial Hopf Algebras

By Kurusch Ebrahimi-Fard

56:25

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Random Loops and T-algebras

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Renormalization Hopf Algebras and Gauge Theories

By Walter Van Suijlekom

54:45

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Cointeracting Bialgebras

By Loïc Foissy

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

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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

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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

54:11

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Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

By Gerald Dunne

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Generalized Gross-Neveu Universality Class with Non-abelian Symmetry

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published on November 30, 2020

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

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

By Thomas Krajewski

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New Techniques for Worldline Integration

By Christian Schubert

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Solvable Dyson-Schwinger Equations

By Raimar Wulkenhaar

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Dirk Kreimer through my Looking Glass

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42:56

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Classical Gravity at High Precision

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

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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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