Invariant elements for p-modular representations of GL2(Qp)

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Accepted for publication at the Transaction of the American Mathematical Society. 2013


https://hal.archives-ouvertes.fr/hal-00576945
Contributor : Stefano Morra <>
Submitted on : Wednesday, March 6, 2013 - 4:24:59 PM
Last modification on : Wednesday, March 6, 2013 - 5:15:03 PM

File

Morra-Invariants.pdf
fileSource_public_author

Identifiers

  • HAL Id : hal-00576945, version 3

Collections

Citation

Stefano Morra. Invariant elements for p-modular representations of GL2(Qp). Accepted for publication at the Transaction of the American Mathematical Society. 2013. <hal-00576945v3>

Export

Share

Metrics

Consultation de
la notice

40

Téléchargement du document

7