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Perverse sheaves on a Loop group and Langlands' duality

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arxiv alg-geom/9511007 v4 pith:CAHKZL4U submitted 1995-11-13 alg-geom hep-thmath.AGmath.QAq-alg

Perverse sheaves on a Loop group and Langlands' duality

classification alg-geom hep-thmath.AGmath.QAq-alg
keywords grouplanglandssheavescategoryconstructionloopperversetensor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of a tensor category of perverse sheaves on the loop group, LG, is given. The construction is applied to the study of the topology of the affine Grassmannian of G and to establishing a Langlands type correspondence for "automorphic" sheaves on the moduli space of G-bundles.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Equivariant Quantum Cohomology of Grassmannians via the Clifford algebra

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    Constructs equivariant quantum Satake map for Grassmannians via Clifford algebra to derive recurrence relations for equivariant Gromov-Witten invariants and prove Graham positivity.

  2. A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras

    math.RT 2022-01 unverdicted novelty 2.0

    Introductory article presenting a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on those branches.