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

preprint2015arXivOpen access

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

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

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

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