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 | |
dash.authorsordered | false | |
dash.contributor.affiliated | Taylor, Richard L. | |