Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the refined PRV conjecture via the cyclic convolution variety   In this brief note we illustrate the utility of the geometric Satake
correspondence by employing the cyclic convolution variety to give a simple
proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture, along with Kumar's
refinement. The proof involves recognizing certain MV-cycles as orbit closures
of a group action, which we make explicit by unique characterization. In an
appendix, joint with P. Belkale, we discuss how this work fits in a more
general framework.

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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: stat