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

主讲人：易少云（University of South Carolina）

时间：2020年10月22日，10:00-11:00

地点：腾讯会议，会议 ID：995 338 269

摘要：Equidistribution theorems for a family of automorphic representations of a reductive group have been studied in various aspects by many mathematicians. This is connected to the equidistribution of Hecke eigenvalues of classical modular forms. In this talk we will discuss an equidistribution result, a version of so-called automorphic Plancherel density theorem, 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 at the local places. To count the number of these cuspidal automorphic representations, we will explore the connection between Siegel modular forms of degree 2 and cuspidal automorphic representations of GSp(4). This is a joint work with Manami Roy and Ralf Schmidt.