English

Equations differentielles p-adiques et modules de Jacquet analytiques

Representation Theory 2011-11-22 v1 Number Theory

Abstract

Using differential techniques, we compute the Jacquet module of the locally analytic vectors of irreducible admissible unitary representations of GL_2(\qp). This gives a direct proof of some results of Colmez, leading to a proof of conjectures by Berger, Breuil and Emerton.

Keywords

Cite

@article{arxiv.1111.4543,
  title  = {Equations differentielles p-adiques et modules de Jacquet analytiques},
  author = {Gabriel Dospinescu},
  journal= {arXiv preprint arXiv:1111.4543},
  year   = {2011}
}

Comments

13 pages, submitted

R2 v1 2026-06-21T19:38:29.250Z