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 |
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| dc.date.accessioned |
2008-12-15T19:11:25Z |
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| dc.date.issued |
2008 |
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| 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 |
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| 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 |
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| dc.publisher |
Springer Berlin / Heidelberg |
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| 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 [5133]
Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
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