Martin Hairer’s regularity structures are a recent discovery and, despite their spectacular applications, they are still relatively little known in the mathematical community. Recently, in joint work with F. Caravenna and L. Broux/F. Caravenna we have revisited the main analytical tools of this theory with the aim of making these notions both more general and simpler to understand.
The aim of this talk is to present the main ideas of this construction.
Lorenzo Zambotti is currently a Professor at Sorbonne University and Director of LPSM. He obtained his Ph.D. degree from the Scuola Normale Superiore Pisa in 2001 and worked at the university as an Assistant Professor from 2001 to 2003. Between 2003 and 2006, he served as an Associate Professor at the Politecnico di Milano. Since 2006, he has been working as a Professor at Sorbonne University. Professor Zambotti's research interests include stochastic (partial) differential equations, regularity structures, rough paths, random polymers, large deviations, heat conduction models, and neural complexity.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai