Dimensions of spaces of Siegel cusp forms of degree 2

Abstract: Computing dimension formulas for the spaces of Siegel modular forms of degree 2 is of great interest to many mathematicians. We will start by discussing known results and methods in this context. The dimensions of the spaces of Siegel cusp forms of non-squarefree levels are mostly unavailable in the literature. This talk will present new dimension formulas of Siegel cusp forms of degree 2, weight k, and level 4 for three congruence subgroups. Our method relies on counting a particular set of cuspidal automorphic representations of GSp(4) and exploring its connection to dimensions of spaces of Siegel cusp forms of degree 2. This is recent work (arXiv:2207.02747) with Ralf Schmidt and Shaoyun Yi.

Mathematics

Audience: researchers in the topic

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Comments: Meeting ID: 678 4319 0638 Passcode: 999070

UBC (online) Number Theory Seminar