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
2016
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https://hal.archives-ouvertes.fr/hal-01459826
Contributeur : Benjamin Schraen <>
Soumis le : mardi 7 février 2017 - 14:37:48
Dernière modification le : mardi 24 octobre 2017 - 01:16:51

Identifiants

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

Citation

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

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