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arXiv · 1105.2242

Local-global compatibility for l=p, II

Thomas Barnet-Lamb·Toby Gee·David Geraghty·Richard Taylor
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Abstract

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 GL_n 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.

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Thomas Barnet-Lamb, Toby Gee, David Geraghty, Richard Taylor. 2011-05-11. Local-global compatibility for l=p, II. https://arxiv.org/abs/1105.2242

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