Thu, April 17, 2025
10:20 am - 11:15 am
Cockins Hall 212
Brian Hall
University of Notre Dame
Title
Heat flow on polynomials with connections to random matrix theory
Abstract
I will the heat flow on polynomials in two cases: (1) the backward heat flow on polynomials with real roots, and (2) the general heat flow on polynomials with complex roots. In both cases, we will find that the problem is described by a PDE and has close connections to random matrix theory. The talk will be self-contained and have lots of pictures and animations. Based on joint work with Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko.