Barnet-Lamb, ThomasGee, TobyGeraghty, DavidTaylor, Richard L.2014-10-152012Barnet-Lamb, Thomas, Toby Gee, David Geraghty, and Richard Taylor. 2012. “Local-Global Compatibility for L=p, I.” Annales de la Faculté des Sciences de Toulouse Mathématiques 21, no. 1: 57–92.0240-2963http://nrs.harvard.edu/urn-3:HUL.InstRepos:13041340We 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.en-USJournal Article2014-10-1510.5802/afst.1329