Moments and Periods for GL(3)

Chung-Hang (Kevin) Kwan (University College London (UCL))

19-Oct-2022, 15:00-16:00 (17 months ago)

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).

number theory

Audience: researchers in the topic


London number theory seminar

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For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html

Organizers: Caleb Springer*, Luis Garcia*
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