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SUMMARY:Completed cohomology and the p-adic Langlands program - David Hans
 en
DTSTART:20191112T143000Z
DTEND:20191112T153000Z
UID:TALK130039@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Completed cohomology\, as defined by Calegari and Emerton\, gi
 ves a natural candidate for general spaces of p-adic automorphic forms. I'
 ll give some motivated introduction to completed cohomology and its role i
 n the p-adic Langlands program. In the latter part of the talk\, I'll expl
 ain some new vanishing theorems for completed cohomology. The proofs invol
 ve a fun combination of perfectoid methods and more classical Shimura vari
 ety techniques\, and I'll try to highlight the main ingredients. This is j
 oint work with Christian Johansson.
LOCATION:MR13
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