One-level density of Dirichlet L-functions

Seminar series

Number Theory Seminar

Date

Thu, 17 Oct 2019
16:00

Location

Speaker

Kyle Pratt

Organisation

Oxford

I will discuss work in progress with Sary Drappeau and Maksym Radziwill on low-lying zeros of Dirichlet L-functions. By way of motivation I will discuss some results on the spacings of zeros of the Riemann zeta function, and the conjectures of Katz and Sarnak relating the distribution of low-lying zeros of L-functions to eigenvalues of random matrices. I will then describe some ideas behind the proof of our theorem.