Curves of genus three and Picard modular forms

Time：2023-10-27, FRIDAY 15:30-16:30

Venue：Zoom Meeting ID: 455 260 1552 Passcode: YMSC；Tsinghua West Stepping Classroom 清华西阶梯教室

Organizer：Caucher Birkar，曲三太，陈炳仪

Speaker：Gerard van der Geer University of Amsterdam

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 modular forms using invariant theory. This is joint work with Jonas Bergstroem and Fabien Clery.

DATEOctober 27, 2023

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