Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent sheaves on the stack of Langlands parameters   We formulate a few conjectures on some hypothetical coherent sheaves on the
stacks of arithmetic local Langlands parameters, including their roles played
in the local-global compatibility in the Langlands program. We survey some
known results as evidences of these conjectures.

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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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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: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: solv-int