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.
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Contributor : Benjamin Schraen <>
Submitted on : Tuesday, February 7, 2017 - 2:37:48 PM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM

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


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



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