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Japan–Russia winter school
January 31, 2012 17:00, Moscow, HSE Department of Mathematics, Vavilova 7, room 311–312
 


Laumon spaces and Representation Theory (joint work with Boris Feigin and Michael Finkelberg). Lecture 3

L. G. Rybnikov

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Abstract: I plan to give an introduction to geometric Representation Theory with the focus on Laumon spaces. The preliminary plan is the following:
  • 1. Flag varieties. Equivariant and quantum cohomology.
  • 2. Monopole space and its compactifications (Drinfeld's Zastava and Laumon's Quasiflags).
  • 3. Equivariant cohomology and localization. U(gl_n) action on equivariant cohomology of Laumon's quasiflags by geometric correspondences.
  • 4. Toda system: from Kostant to Givental.

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