EVENT DETAILS AND ABSTRACT

Title: The cohomology of moduli spaces of curves at infinite level
Speaker: Emanuel Reinecke
Speaker Info: Univ. of Michigan
Brief Description:
Special Note:
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 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.