Mathematics Colloquium

Thursday, October 17, 2024 4pm to 5pm, MSB 111

"What do Painlevé Equations Have in Common with Graph Enumeration on Riemann Surfaces?"

Maxim Yattselev, Indiana University Indianapolis

Abstract

The goal of this talk is to show how orthogonal polynomials are a common tool in studying such disparate questions as asymptotic behavior of special solutions of Painlevé equations, asymptotic behavior of partition functions from statistical mechanics, and map enumeration on compact Riemann surfaces.