Free Probability and Operators

Date: November 3, 2023

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Rafael Morales, Baylor University

Title: Real Roots of Hypergeometric Polynomials Via Finite Free Convolution

Abstract: We discuss the newly discovered applications of the notion of the free finite convolution of polynomials (that is being developed in the framework of free probability theory) to the study of properties of zeros of some hypergeometric polynomials. Part of the talk deals with the use of classical family of orthogonal polynomials in order to obtain the said properties.