The global nilpotent variety is Lagrangian

@article{Ginzburg1997TheGN,
  title={The global nilpotent variety is Lagrangian},
  author={Victor Ginzburg},
  journal={Duke Mathematical Journal},
  year={1997},
  volume={109},
  pages={511-519}
}
  • V. Ginzburg
  • Published 10 April 1997
  • Mathematics
  • Duke Mathematical Journal
The purpose of this note is to present a short elementary proof of a theorem due to Faltings and Laumon, saying that the global nilpotent cone is a Lagrangian substack in the cotangent bundle of the moduli space of G-bundles on a complex compact curve. This result plays a crucial role in the Geometric Langlands program, due to Beilinson-Drinfeld, since it insures that the D-modules on the moduli space of G-bundles whose characteristic variety is contained in the global nilpotent cone are… 
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