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Perverse sheaves on a Loop group and Langlands' duality

Victor Ginzburg
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Abstract

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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Victor Ginzburg. 2000-11-20. Perverse sheaves on a Loop group and Langlands' duality. https://arxiv.org/abs/alg-geom/9511007

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