UCLA Mathnet Login

Martin Hairer

Imperial College London
Visit: 
Tuesday, April 28, 2020 to Thursday, April 30, 2020
Lectures: 

 

April 28-30, 2020 | 9 AM (PT)

Zoom link: https://ucla.zoom.us/j/9264073849

 

Singular Stochastic PDEs

(Tues, 4/28) Lecture 1: Geometric stochastic PDEs

View recording of virtual lecture. 

View presentation slideshow.

We review Parisi and Wu's stochastic quantisation procedure and apply it to the non-linear sigma model as well as the Yang-Mills model. We then review a number of recent results on the resulting equations. In particular, this sheds some new light on an old controversy regarding the interpretation of path integrals.

(Wed, 4/29) Lecture 2: Introduction to regularity structures 1

In this lecture, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory.

View recording of virtual lecture.

View presentation slideshow.

(Thurs, 4/30) Lecture 3: Introduction to regularity structures 2

In this lecture, I will continue to give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory.

View recording of virtual lecture.

View presentation slideshow.