Video recordings of Hendrik Weber's mini-course at SLMath available
Prof. Dr. Hendrik Weber, Investigator at Mathematics Münster, is currently spending several months on a research stay at the Simons Laufer Mathematical Sciences Institute (SLMath) in Berkeley, USA.
This stay is made possible by the Clay Senior Scholar Award, which Hendrik Weber received for his contributions to the research programme "Recent Trends in Stochastic Partial Differential Equations".
As part of the introductory workshop "Kinetic Theory & Stochastic Partial Differential Equations" (25–29 August 2025), he gave a three-part mini-course entitled "Stochastic PDEs and Scaling Limits".
The video recordings of the course have been published online by the SLMath (links below).
Abstract Mini-Course:
The aim of my mini-course is to show how recently developed techniques from the analysis of singular stochastic PDEs (in particular the theory of regularity structures) can be used to analyse scaling limits of interacting particle systems. In the end I want to explain a new proof of the emergence of the KPZ equation from the weakly asymmetric simple exclusion processes completed recently (arXiv:2505.00621). To this end I will review some of the key ideas from the theory of regularity structures in the context of the KPZ equation and then show how these can be modified to apply in the discrete setting.
Stochastic PDEs and Scaling Limits, Part 1: https://vimeo.com/1113653777?fl=pl&fe=vl
Stochastic PDEs and Scaling Limits, Part 2: https://vimeo.com/1114090737?fl=pl&fe=vl
Stochastic PDEs and Scaling Limits, Part 3: https://vimeo.com/1114366284?fl=pl&fe=vl
Further links:
Introductory workshop "Kinetic Theory & Stochastic Partial Differential Equations" - Programme and video recordings
More on the Clay Senior Scholar Award