An analytic BPHZ theorem for Regularity Structures (Ajay Chandra, University of Warwick)

09.05.2016 15:15

I will give a light introduction to the theory of regularity structures and then discuss recent developments with regards to renormalization within the theory.

When trying to tame divergences using counterterms within regularity structures there are two key things one has to verify: (i) the insertion of the counter-term corresponds to a renormalization of the equation and is allowed by the algebraic structure of regularity structures, (ii) there is a way to choose the value of counterterms which yield the right stochastic estimates. This verification is difficult when the divergences become numerous and are nested/overlapping.

Recent work by Bruned, Hairer, and Zambotti provides a robust framework to systematically handle the first issue, I will describe how this can be combined with multiscale techniques from constructive field theory in order to handle the second. This is joint work with Martin Hairer.

PS : the seminar is held in two parts of 45min with a 30min break at Z-Bar

Lieu

Salle 17, Séminaire Mathématique Physique

Organisé par

Section de mathématiques

Intervenant-e-s

Ajay Chandra, University of Warwick

entrée libre

Classement

Catégorie: Séminaire