In-Person Talk

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 emphasized.

This is based on joint works with E. Bailey and with P. Bourgade and M. Radziwill.