Local-global compatibility in the p-adic Langlands program for unitary groups

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• Przemyslaw Chojecki (Jussieu)
• Tuesday 14 May 2013, 16:15-17:15
• MR13.

If you have a question about this talk, please contact Teruyoshi Yoshida.

We study the completed cohomology of arithmetic manifolds defined 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 from it some cases of the Fontaine-Mazur conjecture for unitary groups. This is a joint work with Claus Sorensen.

This talk is part of the Number Theory Seminar series.

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