题目：An equidistribution theorem for GSp(4) by counting cuspidal automorphic representations

报告人：易少云，University of South Carolina

时间：2020年11月12日（周四） 09:00-10:00

腾讯会议ID：973 378 616  （无需密码） 

摘要：There is a so-called vertical Sato-Tate conjecture for GL(2), which describes an equidistribution of Hecke eigenvalues of classical modular forms with respect to certain measure. In this talk, we will discuss a similar equidistribution result for a family of cuspidal automorphic representations of GSp(4). We formulate our theorem explicitly in terms of the number of cuspidal automorphic representations of GSp(4) satisfying certain conditions. To count the number of these cuspidal automorphic representations, we will explore the connection between Siegel cusp forms and cuspidal automorphic representations of GSp(4). This is a joint work with Manami Roy and Ralf Schmidt.