November 4 (Sat), 2017 (Sat) 11:30--12:30, 15:20--16:20 Graduate School of Mathematical Sciences The University of Tokyo, Tokyo, Japan |
Abstract
We give a survey of recent result in probability theory
regarding scaling limits of systems from statistical mechanics,
as well as the universality of the behaviour of such systems
in so-called cross-over regimes. It transpires that some of
these universal objects are described by singular stochastic PDEs.
We then give a survey of the recently developed theory of
regularity structures which allows to build these objects
and to describe some of their properties.