Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak local-global compatibility in the p-adic Langlands program for U(2)   Inspired by Emerton's work for GL(2), we study the completed cohomology of
the tower of finite sets associated with a definite unitary group in two
variables. When p splits (and other technical assumptions are fulfilled), we
show that the p-adic local Langlands correspondence for GL(2) (over Q_p) occurs
in the cohomology. We give an application to the Fontaine-Mazur conjecture over
CM fields.

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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci