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arXiv · 1105.2240

Local-global compatibility for l=p, I

Thomas Barnet-Lamb·Toby Gee·David Geraghty·Richard Taylor
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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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Thomas Barnet-Lamb, Toby Gee, David Geraghty, Richard Taylor. 2011-05-11. Local-global compatibility for l=p, I. https://arxiv.org/abs/1105.2240

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