Local-global compatibility for l=p, II

Details Local-global compatibility for l=p, II Local-global compatibility for l=p, II

2011-05-11

arxiv.org/abs/1105.2242v1

Mathematics

Number Theory

13 pages

Scientific paper

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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