On counting cuspidal automorphic representations of GSp(4)

Abstract: There are some well-known classical equidistribution results like Sato-Tate conjecture for elliptic curves and equidistribution of Hecke eigenvalues of elliptic cusp forms. In this talk, we will discuss a similar equidistribution result for a family of cuspidal automorphic representations for GSp(4). We formulate our theorem explicitly in terms of the number of cuspidal automorphic representations for GSp(4) with certain conditions at the local places. To count the number of these cuspidal automorphic representations, we will explore the connection between Siegel cusp forms of degree 2 and cuspidal automorphic representations of GSp(4). This is a joint work with Manami Roy and Ralf Schmidt.

number theory

Audience: researchers in the discipline

POINT: New Developments in Number Theory

Series comments: There will be two 20-minute contributed talks during each meeting aimed at a general number theory audience, including graduate students.

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