English

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

Number Theory 2015-11-24 v1 Representation Theory

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

Keywords

Cite

@article{arxiv.1511.06882,
  title  = {Some results on locally analytic socle for $\mathrm{GL}_n(\mathbb{Q}_p)$},
  author = {Yiwen Ding},
  journal= {arXiv preprint arXiv:1511.06882},
  year   = {2015}
}

Comments

28 pages, comments welcome