Sheaves on a loop group and langlands duality

@article{Ginzburg1990SheavesOA,
  title={Sheaves on a loop group and langlands duality},
  author={Victor Ginzburg},
  journal={Functional Analysis and Its Applications},
  year={1990},
  volume={24},
  pages={326-327}
}
  • V. Ginzburg
  • Published 13 November 1995
  • Mathematics
  • Functional Analysis and Its Applications
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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