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Article Dans Une Revue Journal of the London Mathematical Society Année : 2017

An application of a theorem of Emerton to mod $p$ representations of $\mathrm{GL}_2$

Résumé

Let $p$ be a prime and $L$ be a finite extension of $\mathbb{Q}_p$. We study the ordinary parts of $\mathrm{GL}_2(L)$-representations arised in the mod $p$ cohomology of Shimura curves attached to indefinite division algebras which splits at a finite place above $p$. The main tool of the proof is a theorem of Emerton \cite{Em3}.

Dates et versions

hal-01281383 , version 1 (02-03-2016)

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Citer

Yongquan Hu. An application of a theorem of Emerton to mod $p$ representations of $\mathrm{GL}_2$. Journal of the London Mathematical Society, 2017, 96 (3), pp.545-564. ⟨10.1112/jlms.12080⟩. ⟨hal-01281383⟩
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