University of Connecticut

Events Calendar

Analysis and Probability Seminar
Branching processes in random matrix theory and analytic number theory
Paul Bourgade (New York University)

Friday, February 14, 2020
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: Fyodorov, Hiary and Keating have conjectured that the maximum of the characteristic polynomial of random matrices behaves like extremes of log-correlated Gaussian fields. This allowed them to predict the size of local maxima of L-function along the critical axis. I will explain the origins of this conjecture and some rigorous understanding, for unitary random matrices and the Riemann zeta function, relying on branching structures.

Contact:

scott.zimmerman@uconn.edu

Analysis and Probability Seminar (primary), UConn Master Calendar

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