LOCAL - GLOBAL COMPATIBILITY FOR l = p , II
نویسنده
چکیده
We prove the compatibility at places dividing l of the local and global Langlands correspondences for the l-adic Galois representations associated to regular algebraic essentially (conjugate) self-dual cuspidal automorphic representations of GLn over an imaginary CM or totally real field. We prove this compatibility up to semisimplification in all cases, and up to Frobenius semisimplification in the case of Shin-regular weight. 2000 Mathematics Subject Classification. 11F33. The second author was partially supported by NSF grant DMS-0841491, the third author was partially supported by NSF grant DMS-0635607 and the fourth author was partially supported by NSF grant DMS-0600716 and by the Oswald Veblen and Simonyi Funds at the IAS.
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