Large Values of the Riemann Zeta Function in Short Intervals
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.