Abstract: Many classical problems on the distribution of prime numbers (and related objects with multiplicative origin) admit function field analogues which can be proved in the large finite field limit. The first results of this type were obtained in the 70's by Swinnerton-Dyer and S. D. Cohen and in recent years there has been a resurgence of activity in this field. We will explain how many of these results initially obtained via ad hoc calculations can be related to the classical algebro-geometric problem of computing the sectional monodromy of curves and present new results in both fields.

## Date:

Thu, 28/03/2019 - 14:30 to 15:30

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem