The cohomology of moduli of curves at infinite level
The cohomology of moduli of curves at infinite level
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Emanuel Reinecke, University of Michigan
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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 relies on 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.
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