Some results on locally analytic socle for ${\mathrm{GL}}_n({\mathbb{Q}}_p)$

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 ${\mathrm{GL}}_n({\mathbb{Q}}_p)$.

28 pages, comments welcome

References in corpus (3)

• Une interprétation modulaire de la variété trianguline
• Ordinary representations and companion points for U(3) in the indecomposable case
• Smoothness and Classicality on eigenvarieties