Random matrices quantum chaos and analytic number theory
Speaker: Paul Bourgade, NYU
Date: Monday, November 30, 2020, 3:30 p.m.
This lecture will review the mostly conjectural occurrence of random matrix statistics in deterministic settings, such as the behavior of the Riemann zeta function on the critical line or the spectral properties of the Laplacian on generic manifolds. I will explain the contributions of Selberg on the central limit theorem for zeta, Montgomrey on the pair correlation of the critical zeros, Bohigas-Giannoni-Schmit on quantum chaos, and Fyodorov-Hiary-Keating for the local extrema of the Riemann zeta function.