|Date: Tuesday, March 29, 2022
Location: 1360 East Hall (4:00 PM to 5:00 PM)
Title: Sumner Myers Award: The cohomology of moduli of curves at infinite level
Abstract: Algebraic curves, or closed Riemann surfaces, play an important role in several areas of mathematics. In this talk, I will discuss so-called moduli spaces that parametrize these objects, together with some extra structure. We will see that their cohomology groups are related to a profinite property of the mapping class group, whose definition I will recall. Then, I will explain some work from my thesis, which uses tools from p-adic geometry to obtain vanishing statements for these cohomologies at infinite level in high degrees.
Speaker: Emanuel Reinecke
Institution: Max Planck Institute for Mathematics