Multiplicity one at full congruence level

Abstract : Let F be a totally real field in which p is unramified. Let r be a modular representation of G_F on a two dimension mod p vector space satisfying the Taylor--Wiles hypotheses and tamely ramified and generic at a place v above p. Let m be the corresponding Hecke eigensystem. We describe the m-torsion in the mod p cohomology of Shimura curves with full congruence level at v as a GL_2(k_v)-representation.
Type de document :
Pré-publication, Document de travail
Liste complète des métadonnées
Contributeur : Benjamin Schraen <>
Soumis le : mardi 7 février 2017 - 14:37:48
Dernière modification le : jeudi 10 mai 2018 - 01:57:10

Lien texte intégral


  • HAL Id : hal-01459826, version 1
  • ARXIV : 1608.07987


Daniel Le, Stefano Morra, Benjamin Schraen. Multiplicity one at full congruence level. 2016. 〈hal-01459826〉



Consultations de la notice