A geometric approach to renormalisation on "smooth rough paths"

Carlo Bellingeri (TU Berlin)

Nov 12. 2021, 15:25 — 15:50

Starting from the renormalisation theory for rough paths as introduced by Bruned, Chevyrev, Friz and Preiss '19, we will reformulate and extend this approach on any Hopf algebra $H$ and over the class of "smooth rough paths",  i.e. smooth paths with values in the character group of $H$. In this context, renormalization is equivalent to solving an ordinary differential equation containing the Mauer-Cartan form for G(H). Further applications to the renormalisation of differential equations driven by a smooth rough path are provided in the geometric and quasi-geometric setting. Joint work with Rosa Preiss, Sylvie Paycha, Peter Friz

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures Emerging from Renormalisation (Graduate School)
Pierre Clavier (U of Haut-Alsace)
Kurusch Ebrahimi-Fard (NTNU, Trondheim)
Peter K. Friz (TU Berlin)
Harald Grosse (U of Vienna)
Dominique Manchon (U Clerment Auvergne)
Sylvie Paycha (U of Potsdam)
Sylke Pfeiffer (U of Potsdam)