Emma Bailey -- Characteristic polynomials of the classical compact groups
Channel: Matrices Et Graphes Aléatoires GDR CNRS
Date: 2021-02-15

Abstract: Moments of characteristic polynomials have connections to log-correlated fields, Toeplitz and Hankel determinants, combinatorics, and number theory. In this talk, I will introduce `moments of moments' of characteristic polynomials. Our results give their asymptotic behaviour, answering a conjecture of Fyodorov and Keating. This talk will discuss joint work with Jon Keating and Theo Assiotis.