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

Yongquan Hu

paper

An application of a theorem of Emerton to mod $p$ representations of $GL_{2}$

arXiv:1602.08827

Abstract

Let $p$ be a prime and $L$ be a finite extension of $Q_{p}$ . We study the ordinary parts of $GL_{2} (L)$ -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}.

arXiv comment20 pages

An application of a theorem of Emerton to mod p representations of GL2​

Abstract

An application of a theorem of Emerton to mod $p$ representations of $GL_{2}$