# Kevin Kwan (University College London)

Date

Monday March 20, 20234:30 pm - 5:30 pm

Location

Jeffery Hall, Room 319Event Category

## 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).