Completed cohomology and the p-adic Langlands program

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• David Hansen
• Tuesday 12 November 2019, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jack Thorne.

Completed cohomology, as defined by Calegari and Emerton, gives a natural candidate for general spaces of p-adic automorphic forms. I’ll give some motivated introduction to completed cohomology and its role in the p-adic Langlands program. In the latter part of the talk, I’ll explain some new vanishing theorems for completed cohomology. The proofs involve a fun combination of perfectoid methods and more classical Shimura variety techniques, and I’ll try to highlight the main ingredients. This is joint work with Christian Johansson.

This talk is part of the Number Theory Seminar series.

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