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

27 28

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

By Lukas Nabergall

We describe how certain analytic Dyson-Schwinger equations and related tree-like equations arise from the universal property of the Connes-Kreimer Hopf algebra applied to Hopf subalgebras obtained from combinatorial Dyson-Schwinger equations in the work of Foissy. We then show how these equations can be solved as weighted generating functions of certain classes of chord diagrams and obtain an explicit formula counting some of these combinatorial objects.

Information about the video

Date of recording 20/11/2020
Date of publication 30/11/2020
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Combinatorics

Document(s)

Slides

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