Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphic congruences and torsion in the cohomology of a simple
  unitary Shimura variety   We first give a relative flexible process to construct torsion cohomology
classes for Shimura varieties of Kottwitz-Harris-Taylor type with coefficient
in a non too regular local system. We then prove that associated to each
torsion cohomology class, there exists a infinity of irreducible automorphic
representations in characteristic zero, which are pairwise non isomorphic and
weakly congruent.

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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an