A statistical mechanics perspective on the large values of the Riemann zeta function
Mathematical Physics Seminar
16th February 2024, 1:45 pm – 3:30 pm
Fry Building, 2.04
I will give an account of the recent progress in probability and in number theory to understand the large values of the zeta function on the critical line, especially in short intervals. The problems have interesting connections to statistical mechanics of disordered systems, both in their interpretations and in the techniques of proofs. These connections will be emphasised.