Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parallel transport and the p-adic Simpson correspondence   Deninger and Werner developed an analogue for p-adic curves of the classical
correspondence of Narasimhan and Seshadri between stable bundles of degree zero
and unitary representations of the topological fundamental group for a complex
smooth proper curve. Using parallel transport, they associated functorially to
every vector bundle on a p-adic curve whose reduction is strongly semi-stable
of degree 0 a p-adic representation of the fundamental group of the curve. They
asked several questions: whether their functor is fully faithful; whether the
cohomology of the local systems produced by this functor admits a Hodge-Tate
filtration; and whether their construction is compatible with the p-adic
Simpson correspondence developed by Faltings. We answer these questions in this
article.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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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: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio