Please Note: This seminar will be given online.
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Probability Seminar Series
Louis-Pierre
Arguin,
Professor Link to join seminar: Hosted on Webex. |
Large Values of the Riemann Zeta Function in Short Intervals
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.