Pursuing the double affine Grassmannian. II: Convolution

DOI10.1016/j.aim.2011.12.007zbMath1242.14047arXiv0908.3390OpenAlexW2963098889MaRDI QIDQ411739

Alexander Braverman, Michael Finkelberg

Publication date: 30 April 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3390

zbMATH Keywords

convolutionmoduli spaceintersection cohomologyreductive groupquiver varietiesaffine GrassmannianLanglands dualityKac-Moody groupBeilinson-Drinfeld GrassmannianKleinian stacksUhlenbeck space

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Algebraic moduli problems, moduli of vector bundles (14D20) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Kac-Moody groups (20G44) Geometric Langlands program: representation-theoretic aspects (22E57) Stacks and moduli problems (14D23) Compactifications; symmetric and spherical varieties (14M27) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items

Semi-infinite Schubert varieties and quantum 𝐾-theory of flag manifolds ⋮ Quantization of Drinfeld Zastava in type \(A\) ⋮ The spherical Hecke algebra for affine Kac-Moody groups. I ⋮ Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities ⋮ M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems ⋮ A quantum Mirković-Vybornov isomorphism ⋮ Instantons on multi-Taub-NUT spaces. I: Asymptotic form and index theorem

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