Event

Louis-Pierre Arguin, Université de Montréal

Monday, February 19, 2018 14:00to15:00
Burnside Hall Room 1214, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

The maximum of the Riemann zeta function in a short interval of the critical line.

A conjecture of Fyodorov, Hiary & Keating states that the maxima of the modulus of the Riemann zeta function on an interval of the critical line behave similarly to the maxima of a log-correlated process. In this talk, we will discuss a proof of this conjecture to leading order, unconditionally on the Riemann Hypothesis. We will highlight the connections between the number theory problem and the probabilistic models including the branching random walk. We will also discuss the relations with the freezing transition for this problem. This is joint work with D. Belius (Zurich), P. Bourgade (NYU), M. Radizwill (McGill), and K. Soundararajan (Stanford).
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