Mathematics

The course will focus on  the partial regularity theory for Lambda-minimisers of the perimeter and its application to geometric variational problems. As time permits, also the study of the singular set will be addressed. 

Abstract: The study of interacting particles has been a central subject in statistical physics. The goal of this course is to study interacting infinitely many Brownian motions with long range interaction by using methods from extended metric measure geometry and optimal transport theory.  The lectures will cover several topics from the following subjects: