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dc.contributor.authorClozel, Laurent
dc.contributor.authorTaylor, Richard
dc.contributor.authorHarris, Michael
dc.date.accessioned2008-12-15T19:11:25Z
dc.date.issued2008
dc.identifier.citationCozel, 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.issn1618-1913
dc.identifier.issn0073-8301en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:2449392
dc.description.abstractWe 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.sponsorshipMathematicsen
dc.publisherSpringer Berlin / Heidelbergen
dc.relation.isversionofhttp://www.springerlink.com/content/108804/en
dc.relation.isversionofhttp://dx.doi.org/10.1007/s10240-008-0016-1en
dash.licenseOAP
dc.titleAutomorphy for Some \(l\)-Adic Lifts of Automorphic Mod \(l\) Galois Representationsen
dc.relation.journalPublications Mathematiques de l'Institut des Hautes Etudes Scientifiquesen
dash.depositing.authorTaylor, Richard
dash.authorsorderedfalse
dash.contributor.affiliatedTaylor, Richard L.


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