Home /  Workshop /  Schedules /  The Fyodorov-Hiary-Keating Conjecture

The Fyodorov-Hiary-Keating Conjecture

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 September 20, 2021 - September 24, 2021

September 24, 2021 (09:00 AM PDT - 09:50 AM PDT)
Speaker(s): Paul Bourgade (New York University, Courant Institute)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

he Fyodorov-Hiary-Keating Conjecture

Abstract

Fyodorov-Hiary-Keating proposed very precise asymptotics for the maximum of the Riemann zeta function in almost all intervals along the critical axis. After reviewing the origins of this conjecture through the random matrix analogy, I will explain a proof up to tightness, building on an underlying branching structure. This work with Louis-Pierre Arguin and Maksym Radziwill relies on a multiscale analysis and twisted moments of zeta.

Supplements
91609?type=thumb The Fyodorov-Hiary-Keating Conjecture 3.54 MB application/pdf Download
Video/Audio Files

he Fyodorov-Hiary-Keating Conjecture

Troubles with video?

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.