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The stable cohomology of the moduli space of curves with level structures

Speaker: Andrew Putman

Date: Fri, Jun 14, 2019

Location: PIMS, University of British Columbia

Conference: Workshop on Arithmetic Topology

Subject: Mathematics, Topology

Class: Scientific

Abstract:

I will prove that in a stable range, the rational cohomology of the moduli space of curve with level structures is the same as the ordinary moduli space of curves: a polynomial ring in the Miller-Morita-Mumford classes.