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...
Algebraic Geometry SeminarOrganizers:Caucher Birkar,贾甲Speaker:Yucheng Liu (Chonqing University)Time:Fri., 15:30-16:30Feb. 28, 2025Venue:B725, Shuangqing Complex Building AOnline:Zoom Meeting ID: 262 865 5007Passcode: YMSCTitle: Constructing stable Hilbert bundles via Diophantine approximationAbstract:In this talk, I will present a construction of stable Hilbert bundles on any compact R...