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Speaker:

Louis-Pierre Arguin
Affiliation:

CUNY Stony Brook
Date:

Wed, 13/06/2018 - 16:15 - 17:15
Location:

MPIM Lecture Hall
Parent event:

Hausdorff School on Log-correlated Fields In this talk, we will present a proof of the freezing transition for the Riemann zeta function as conjectured by Fyodorov, Hiary & Keating. The connection with log-correlated fields will be emphasized. The problem is related to understanding moments of zeta on a typical short interval. The proof relies on techniques developed to understand the leading order of the maximum of zeta. If time permits, we will discuss the “one-step replica symmetry breaking behaviour” (1-RSB) which can be proved for a simplified model of zeta.

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