The City College of New YorkCCNY
Department of Mathematics
Division of Science

Large Values of the Riemann Zeta Function in Short Intervals

Mathematics Colloquium

Time and place

12:30 PM on Thursday, October 31st, 2019; NAC 6/113

Louis-Pierre Arguin (Baruch College)

Abstract

In a seminal paper in 2012, Fyodorov & Keating proposed a series of conjectures describing the statistics of large values of zeta in short intervals of the critical line. In particular, they relate these statistics to the ones of log-correlated Gaussian fields. In this lecture, I will present recent results that answer many aspects of these conjectures. Connections to problems in number theory will also be discussed.

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