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

11 28

Toric Hall Algebras and infinite-dimensional Lie algebras

By Matt Szczesny

Hall algebra

The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras. I will discuss joint work with J. Jun which attaches a Hopf algebra to a projective toric variety X. This Hopf algebra arises as the Hall algebra of a category of coherent sheaves on X locally modeled on n-dimensional skew partitions.

Information about the video

Date of recording 17/11/2020
Date of publication 29/11/2020
Institution IHES
Language English
Audience Researchers
Format MP4

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All the collection videos

50:32

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Bogoliubov Type Recursions for Renormalisation in Regularity Structures

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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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59:12

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From Complementations on Lattices to Locality

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Toric Hall Algebras and infinite-dimensional Lie algebras

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Elliptic Curves Associated to Two-loop Graphs

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56:46

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Graph Complexes, Invariant Differential Forms and Feynman integrals

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Spaces of Graphs, Tori and Other Flat Gamma-complexes

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Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

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

By Thomas Krajewski

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Solvable Dyson-Schwinger Equations

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Dirk Kreimer through my Looking Glass

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Classical Gravity at High Precision

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By Lukas Nabergall

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published on November 30, 2020

2010-2020: a Decade of Quantum Computing

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