Laumon spaces and Representation Theory (joint work with Boris Feigin and Michael Finkelberg). Lecture 4

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.