The Riemann zeta function on short intervals is a branching random walk
In a pair of highly influential works, Fyodorov, Hiary and Keating formulated a precise conjecture describing the maximum of the Riemann zeta function in short intervals of the critical line Re(z)=1/2. This conjecture has since seen much progress, owing in part to a connection with the theory of branching random walks.
In this talk, I will outline this connection and give a more general introduction to the zeta function from a probabilistic point of view. I will then discuss recent progress towards the Fyodorov-Hiary-Keating conjecture achieved in a joint work with Louis-Pierre Arguin.

(No prior knowledge of number theory will be assumed)
Date: 24 February 2025, 14:00
Venue: Venue to be announced
Speaker: Jad Hamdan (University of Oxford)
Organising department: Department of Statistics
Part of: Probability seminar
Booking required?: Not required
Audience: Members of the University only
Editors: Christina Goldschmidt, Julien Berestycki