Characteristic polynomials of the classical compact groups.

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.

statistical mechanicsmathematical physicsprobability

Audience: researchers in the topic

Séminaire MEGA

Series comments: Description: Monthly seminar on random matrices and random graphs