Date(s) - 20/02/2018
11 h 05 min - 12 h 05 min
An outstanding problem in analytic number theory is to understand the maximum of the Riemann ζ function on the critical line. The problem is poorly understood even at a conjectural level. Motivated by the physics literature Fyodorov and Keating made recently a conjecture on the maximum of the Riemann ζ function in typical segments of length 1 lying on the critical line. I will discuss this conjecture, and the recent confirmation of it in the first order in joint work with Arguin, Belius, Bourgade and Soundararajan.