Moduli Spaces and Related TopicsOrganizers：Xiang He, Chenglong Yu, Dingxin Zhang, Jie ZhouSpeaker：Gerard van der Geer (University of Amsterdam)Time：Wed., 15:30-16:30, Sept. 18, 2024Venue：C654, Shuangqing Complex Building A清华大学双清综合楼A座 C654Title: Constructing modular forms via geometryAbstract：Vector-valued Siegel modular forms are a natural generalization of elliptic modular forms...
Abstract：Some Shimura varieties can be interpreted as moduli spaces of curves. In such cases this can be used to get information about modular forms. We discuss a ball quotient related to moduli of curves of genus three. We study cohomology of local systems and calculate the traces of Hecke operators by counting points on curves over finite fields. We also construct all vector-valued Picard mo...
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