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...
BIMSA-YMSC Number Theory Lunch SeminarOrganizers:Yong Suk Moon, Koji ShimizuSpeaker:Dong YanTime:Thur., 12:00-13:00, Oct. 24, 2024Venue:BIMSA A4-1Title:Modular forms with complex multiplicationAbstract:In this talk, I will introduce Ribet's paper on modular forms with complex multiplication and its Galois representations