Local-global compatibility for l=p, I

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

2011-05-11

arxiv.org/abs/1105.2240v1

Mathematics

Number Theory

26 pages

Scientific paper

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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