16-20 November 2020
IHES
Europe/Paris timezone

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

19 Nov 2020, 14:20
50m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Speaker

Prof. Thomas KRAJEWSKI (CPT Aix-Marseille)

Description

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.

Presentation Materials