Asymptotics of the Averaged Characteristic Polynomial for Ginibre Ensemble

Explore the intricacies of random matrix theory in this 35-minute lecture on the asymptotics of the averaged characteristic polynomial for the Ginibre Ensemble. Delivered by Seung-Yeop LEE from the University of South Florida, this talk is part of the School and Workshop on Random Matrix Theory and Point Processes. Delve into key concepts such as Coulomb Gas, Multiple Szego curves, and Multiple Orthogonal Polynomials Type II. Gain insights into the set of non-smooth points and examine the partition function in relation to the moments of the characteristic polynomial. Enhance your understanding of complex mathematical concepts in the field of random matrix theory through this comprehensive presentation.

Intro
Coulomb Gas
Multiple Szego curve - Set of non-smooth points of
Multiple OP Type II
Partition function - Moments of Char. Poly