Maximum of the Riemann ζ function in typical intervals

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Date(s) - 20/02/2018
11 h 05 min - 12 h 05 min

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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.

http://www.math.mcgill.ca/radziwill/


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