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arXiv · 1602.08827

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

Yongquan Hu
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Abstract

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}.

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Yongquan Hu. 2016-02-29. An application of a theorem of Emerton to mod $p$ representations of $\mathrm{GL}_2$. https://arxiv.org/abs/1602.08827

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