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SUMMARY:Local-global compatibility in the p-adic Langlands program for uni
 tary groups - Przemyslaw Chojecki (Jussieu)
DTSTART:20130514T151500Z
DTEND:20130514T161500Z
UID:TALK44976@talks.cam.ac.uk
CONTACT:Teruyoshi Yoshida
DESCRIPTION:We study the completed cohomology of arithmetic manifolds defi
 ned by unitary groups compact at infinity over CM fields in which p splits
  completely. Following approach of Emerton\, we show that one can realise 
 the local p-adic Langlands correspondence in the cohomology. We deduce fro
 m it some cases of the Fontaine-Mazur conjecture for unitary groups. This 
 is a joint work with Claus Sorensen.
LOCATION:MR13
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