|Date: Wednesday, September 11, 2019
Location: 4096 East Hall (4:00 PM to 5:30 PM)
Title: The cohomology of moduli spaces of curves at infinite level
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.
Speaker: Emanuel Reinecke