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

2016/02/29 by Yongquan Hu, Hu, Yongquan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1602.08827

20 pages

openalex publication_date 2016/02/29 · arxiv created 2016/03/02 · arxiv updated 2016/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be a prime and L be a finite extension of ℚ_p. We study the ordinary parts of GL₂(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 \citeEm3.

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