Large Values of the Riemann Zeta Function in Short Intervals

The interplay between probability theory and number theory has a rich history of producing deep results and conjectures. Important instances are the works of Erdös, Kac, Selberg, Montgomery, Soundararajan and Granville, to name a few. This talk will review recent results in this spirit where the insights of probability, of branching processes in particular, have led to a better understanding of large values of the Riemann zeta function in short intervals on the critical line.

• Speaker: Louis-Pierre Arguin (Oxford)
• Tuesday 18 March 2025, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: ww295.