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Title:	Automorphy for Some \(l\)-Adic Lifts of Automorphic Mod \(l\) Galois Representations
Author:	Clozel, Laurent; Taylor, Richard; Harris, Michael Note: Order does not necessarily reflect citation order of authors.
Citation:	Cozel, Laurent, Michael Harris, and Richard Taylor. 2008. Automorphy of some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques. Online First (November), http://www.springerlink.com/content/108804/.
Full Text & Related Files:	Clozel_Automorphy.pdf (942.5Kb; PDF)
Abstract:	We extend the methods of Wiles and of Taylor and Wiles from \(GL_2\) to higher rank unitary groups and establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge-Tate numbers), minimally ramified, \(l\)-adic lifts of certain automorphic mod \(l\) Galois representations of any dimension. We also make a conjecture about the structure of mod \(l\) automorphic forms on definite unitary groups, which would generalise a lemma of Ihara for \(GL_2\) . Following Wiles’ method we show that this conjecture implies that our automorphy lifting theorem could be extended to cover lifts that are not minimally ramified.
Published Version:	http://www.springerlink.com/content/108804/
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:2449392

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  Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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