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| HAL : hal-00576945, version 3 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (16-03-2011) | v2 (11-04-2012) | v3 (06-03-2013) |
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| Invariant elements for p-modular representations of GL2(Qp) |
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| Stefano Morra 1 |
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| (08/2011) |
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| Let p be an odd rational prime and F a p-adic field. We give a realization of the universal p- modular representationsof GL2(F) in terms of an explicit Iwasawa module. We specialize our constructions to the case F = Qp , giving a detailed description of the invariants under principal congruence subgroups of irreducible admissible p-modular representations of GL2(Qp), generalizing previous works of Breuil and Paskunas. We apply these results to the local/global compatibility of Emerton, giving a generalization of the classical multiplicity one results for the Jacobians of modularcurves with arbitrary level at p. |
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| 1 : | Institut de Mathématiques et de Modélisation de Montpellier (I3M) |
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CNRS : UMR5149 – Université Montpellier II - Sciences et techniques |
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| Domaine | : | Mathématiques/Théorie des nombres Mathématiques/Théorie des représentations |
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| P-adic Langlands correspondence – Supersingular representation. |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00576945, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00576945 | |
| oai:hal.archives-ouvertes.fr:hal-00576945 | |
| Contributeur : Stefano Morra | |
| Soumis le : Mercredi 6 Mars 2013, 16:24:59 | |
| Dernière modification le : Mercredi 6 Mars 2013, 17:15:03 | |
