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Loop Groups

Speaker(s)
Andrzej Weber
Affiliation
Uniwersytet Warszawski
Date
May 12, 2009, noon
Room
room 5810
Seminar
Seminar Algebraic Topology

Let G be a compact connected Lie (or linear reductive complex algebraic) group. I will present a sketch of a proof that the category of some sheaves (namely invariant perverse sheaves) on the loop group \Omega G is equivalent to the category of representations of the Langlands dual group. This theorem is due to Ginzburg and Mirkovich-Vilonen (and probably others).