Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral $p$-adic Hodge theory in the imperfect residue field case   Let $K$ be a mixed characteristic complete discrete valuation field with
residue field admitting a finite $p$-basis, and let $G_K$ be the Galois group.
We first classify semi-stable representations of $G_K$ by weakly admissible
filtered $(\varphi,N)$-modules with connections. We then construct a fully
faithful functor from the category of \emph{integral} semi-stable
representations of $G_K$ to the category of Breuil-Kisin $G_K$-modules. Using
the integral theory, we classify $p$-divisible groups over the ring of integers
of $K$ by minuscule Breuil-Kisin modules with connections.

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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
16
The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics