Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some results on locally analytic socle for $\mathrm{GL}_n(\mathbb{Q}_p)$   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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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th