Banach-Hecke algebras and -adic Galois representations.

Schneider, P.; Teitelbaum, J.

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Two-dimensional $p$ -adic Galois representations unramified away from $p$

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We prove the compatibility of the local and global Langlands correspondences at places dividing $l$ for the $l$ -adic Galois representations associated to regular algebraic conjugate self-dual cuspidal automorphic representations of ${GL}_{n}$ over an imaginary CM field, under the assumption that the automorphic representations have Iwahori-fixed vectors at places dividing $l$ and have Shin-regular weight.

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Displaying similar documents to “Banach-Hecke algebras and p -adic Galois representations.”

Displaying similar documents to “Banach-Hecke algebras and $p$ -adic Galois representations.”