Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and geometric
  Satake equivalence (with appendix by Dennis Gaitsgory)   Let $G$ be a reductive complex algebraic group. We fix a pair of opposite
Borel subgroups and consider the corresponding semiinfinite orbits in the
affine Grassmannian $Gr_G$. We prove Simon Schieder's conjecture identifying
his bialgebra formed by the top compactly supported cohomology of the
intersections of opposite semiinfinite orbits with $U(\check{\mathfrak n})$
(the universal enveloping algebra of the positive nilpotent subalgebra of the
Langlands dual Lie algebra $\check{\mathfrak g}$). To this end we construct an
action of Schieder bialgebra on the geometric Satake fiber functor. We propose
a conjectural construction of Schieder bialgebra for an arbitrary symmetric
Kac-Moody Lie algebra in terms of Coulomb branch of the corresponding quiver
gauge theory.

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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio