The cohomology of moduli of curves at infinite level

Emanuel Reinecke (IAS)

19-Nov-2020, 17:00-18:20 (3 years ago)

Abstract: By work of Harer, the Betti cohomology of the moduli space of smooth, complex curves of genus $g > 1$ vanishes in degrees above $4g - 5$. In my talk, I give a new perspective on this result which uses $p$-adic geometry. The approach also yields statements about moduli of stable curves and curves of compact type that are not covered by Harer's methods.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic


Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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Organizers: David Hansen*, Arthur-César Le Bras*, Jared Weinstein*
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