Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kisin modules with descent data and parahoric local models   We construct a moduli space $Y^{\mu, \tau}$ of Kisin modules with tame
descent datum $\tau$ and with fixed $p$-adic Hodge type $\leq \mu$, for some
finite extension $K/\mathbb{Q}_p$. We show that this space is smoothly
equivalent to the local model for $\mathrm{Res}_{K/\mathbb{Q}_p}
\mathrm{GL}_n$, cocharacter $\{ \mu \}$, and parahoric level structure. We use
this to construct the analogue of Kottwitz-Rapoport strata on the special fiber
$Y^{\mu, \tau}$ indexed by the $\mu$-admissible set. We also relate $Y^{\mu,
\tau}$ to potentially crystalline Galois deformation rings.

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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom