Seminar Event Detail

Colloquium Series

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

Event Organizer:     


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