16-20 November 2020
IHES
Europe/Paris timezone

Bogoliubov Type Recursions for Renormalisation in Regularity Structures

16 Nov 2020, 17:20
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. Yvain BRUNED (University of Edinburgh)

Description

Hairer's regularity structures transformed the solution theory of singular stochastic partial differential equations. The notions of positive and negative renormalisation are central and the intricate interplay between these two renormalisation procedures is captured through the combination of cointeracting bialgebras and an algebraic Birkhoff-type decomposition of bialgebra morphisms. We will revisit the latter by defining Bogoliubov-type recursions similar to Connes and Kreimer's formulation of BPHZ renormalisation. This is a joint work with Kurusch Ebrahimi-Fard.

Presentation Materials