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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
