Automorphy for Some \(l\)-Adic Lifts of Automorphic Mod \(l\) Galois Representations

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Automorphy for Some \(l\)-Adic Lifts of Automorphic Mod \(l\) Galois Representations

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dc.contributor.author Clozel, Laurent
dc.contributor.author Taylor, Richard
dc.contributor.author Harris, Michael
dc.date.accessioned 2008-12-15T19:11:25Z
dc.date.issued 2008
dc.identifier.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/. en
dc.identifier.issn 1618-1913
dc.identifier.issn 0073-8301 en
dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:2449392
dc.description.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. en
dc.description.sponsorship Mathematics en
dc.publisher Springer Berlin / Heidelberg en
dc.relation.isversionof http://www.springerlink.com/content/108804/ en
dc.relation.isversionof http://dx.doi.org/10.1007/s10240-008-0016-1 en
dash.license OAP
dc.title Automorphy for Some \(l\)-Adic Lifts of Automorphic Mod \(l\) Galois Representations en
dc.relation.journal Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques en
dash.depositing.author Taylor, Richard

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  • FAS Scholarly Articles [7103]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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