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)
Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.
Organizers: | David Hansen*, Arthur-César Le Bras*, Jared Weinstein* |
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