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Algebraic Geometry Seminar

The cohomology of moduli spaces of curves at infinite level
Wednesday, September 11, 2019
4:00-5:30 PM
4096 East Hall Map
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 is inspired by recent developments in 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.
Speaker(s): Emanuel Reinecke (UM)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics