ZUMA - Coherent cohomological dimension of Siegel modular varieties and the modularity of formal Siegel modular forms4.8

地点: 数学高等研究院报告厅


时间: 4月8日,16:00 - 17:00


主讲人: 范浩程 Haocheng Fan (北京大学)


摘要:In this talk, we provide an upper bound of the coherent cohomological dimension of the Siegel modular variety. As a corollary, we show that the boundary of the compactified Siegel modular variety satisfies the Grothendieck–Lefschetz condition. This implies, in particular, that every formal Siegel modular forms of genus at least 2 and cogenus 1 is classical.