Publication: Local-global compatibility for l=p, I
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Date
2012
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Cellule MathDoc/CEDRAM
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Barnet-Lamb, Thomas, Toby Gee, David Geraghty, and Richard Taylor. 2012. “Local-Global Compatibility for L=p, I.” Annales de la Faculté des Sciences de Toulouse Mathématiques 21, no. 1: 57–92.
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Abstract
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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