Many mathematicians have studied dimension and codimension formulas for the spaces of Siegel cusp forms of degree 2. The dimensions of the spaces of Siegel cusp forms of non-squarefree levels are mostly now available 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. One of these dimension formulas is obtained using the Satake compactification. However, our primary 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 work is joint with Ralf Schmidt and Shaoyun Yi.
07. Dezember 2021, 15:00-16:00
Zoom, please contact for details.
Yingkun Li (TU Darmstadt) Markus Schwagenscheidt (ETH Zürich)