Local-global compatibility for $l=p$, II
Local-global compatibility for $l=p$, II
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 GLn over an imaginary CM or totally real field.We prove this compatibility up to semisimplification in all cases, and …