Local-global compatibility for l=p, I

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Local-global compatibility for l=p, I

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Title: Local-global compatibility for l=p, I
Author: Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard

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Citation: Barnet-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.
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Abstract: 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.
Published Version: doi:10.5802/afst.1329
Other Sources: http://www.math.ias.edu/~rtaylor/lg1.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:13041340
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