Counting cuspidal automorphic representations of GSp(4)

Manami Roy (Fordham University)

12-Mar-2021, 16:00-17:00 (3 years ago)

Abstract: There is a well-known connection between the Siegel modular forms of degree 2 and the automorphic representations of GSp(4). Using this relationship and the available dimension formulas for the spaces of Siegel cusp forms of degree 2, we count a specific set of cuspidal automorphic representations of GSp(4). Consequently, we obtain an equidistribution result for a family of cuspidal automorphic representations of GSp(4). This kind of equidistribution result is analogous to the so-called vertical Sato-Tate conjecture for GL(2). The method of counting automorphic representations is also helpful for computing dimensions of some spaces of Siegel cusp forms, which are not yet known. The talk is based on a joint work with Ralf Schmidt and Shaoyun Yi.

algebraic geometryalgebraic topologygroup theorynumber theoryrepresentation theory

Audience: researchers in the discipline


Queen Mary University of London Algebra and Number Theory Seminar

Organizer: Shu Sasaki*
*contact for this listing

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