Some results on locally analytic socle for GL_n(ℚ_p)

2015/11/21 by Yiwen Ding, Ding, Yiwen
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)

paper · pdf · doi:10.48550/arxiv.1511.06882

openalex publication_date 2015/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some closed rigid subspaces of the eigenvarieties, constructed by using the Jacquet-Emerton functor for parabolic non-Borel subgroups. As an application (and motivation), we prove some new results on Breuil's locally analytic socle conjecture for GL_n(ℚ_p).

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