时间：2025年5月13日（星期二）15:00-16:00
地点：西湖大学云谷校区E4-233
主讲人: Didier Lesesvre, Université de Lille
主讲人简介：
Didier Lesesvre is a Lecturer of Université de Lille. After obtaining his PhD degree from Université Paris 13 in 2018, he conducted postdoctoral research at Sun Yat-sen University from 2018 to 2021.
报告题目：Kuznetsov trace formula for GSp(4) and applications
报告摘要：
Trace formulas relate statistics on automorphic forms, which often remain mysterious yet central in number theory, with statistics on geometric or arithmetic quantities, which one hopes to be more explicit and better understood. We will discuss how to establish such a Kuznetsov-type trace formula in the case of the symplectic group GSp(4), and will study the precise analytic behaviour of both the spectral and the arithmetic transforms arising in the formula. These fundamental properties can be used to establish various results on the family of Maaß automorphic forms on GSp(4) in the spectral aspect: the Weyl law, a density result on the non-tempered spectrum, large sieve inequalities, bounds on the second moment of the spinor and standard L-functions, as well as a statement on the distribution of the low-lying zeros of these L-functions.
