BIMSA-YMSC Tsinghua Number Theory SeminarOrganizers:Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang ZhuSpeaker:Xiaojiang Cheng (YMSC)Time:Mon., 10:00-11:00 am, Oct. 21, 2024Venue:C654, Shuangqing Complex Building (新增线上ZOOM,详情见文末评论区)Title:Hodge Classes in the Cohomology of Local SystemsAbstract: Let S be an arithmetic quotient of a Hermitian symmetric domain and X/S be a fam...
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...