Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completed prismatic $F$-crystals and crystalline $\mathbf{Z}_p$-local
  systems   We introduce the notion of completed $F$-crystals on the absolute prismatic
site of a smooth $p$-adic formal scheme. We define a functor from the category
of completed prismatic $F$-crystals to that of crystalline \'etale
$\mathbf{Z}_p$-local systems on the generic fiber of the formal scheme and show
that it gives an equivalence of categories. This generalizes the work of Bhatt
and Scholze, which treats the case of a complete discrete valuation ring with
perfect residue field.

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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci