Kevin Kwan (University College London)


Monday March 20, 2023
4:30 pm - 5:30 pm


Jeffery Hall, Room 319

Number Theory Seminar

Monday, March 20th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 319

Speaker: Kevin Kwan (University College London)

Title: Some Aspects of Moments

Abstract: In the past century, moments of L-functions have been important in number theory and are well-motivated by a variety of arithmetic applications. In this talk, we will begin with two elementary counting problems of Diophantine nature as motivation, followed by a survey of techniques in the past and the present. The main goal is to demonstrate how period integrals can be used to study moments of automorphic L-functions and uncover the interesting underlying structures (some of them can be modeled by random matrix theory).