Vladimir Retakh, Rutgers University

Abstract

James Joseph Sylvester was the first one to find a determinant solution of a system of nonlinear differential equations which is now known as Toda system. I will talk about commutative and noncommutative generalizations of his result. I will also discuss connections between Toda systems, Painlevé equations and orthogonal polynomials.

Link to video: https://vimeo.com/674708825

Presented Via Zoom: https://rutgers.zoom.us/j/94346444480

Password: 6564120420

For further information see: https://sites.math.rutgers.edu/~zeilberg/expmath/