Exploring modular forms and the cohomology of local systems on moduli spaces by counting points

zbMATH Open1446.11122arXiv1604.02654MaRDI QIDQ4645606

G. van der Geer

Publication date: 10 January 2019

Abstract: This is a report on a joint project in experimental mathematics with Jonas Bergstr"om and Carel Faber where we obtain information about modular forms by counting curves over finite fields.

Full work available at URL: https://arxiv.org/abs/1604.02654

zbMATH Keywords

cohomologymoduli spaceslocal systems

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05)

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