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Iskovskikh Seminar
December 1, 2011 19:00, Moscow, Steklov Mathematical Institute, room 540
 


Laumon spaces and representation theory (joint work with B. Feigin, M. Finkelberg and A. Negut)

L. G. Rybnikov

State University – Higher School of Economics

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Abstract: Laumon spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety. We construct the action of the Yangian of $sl_n$ in the localized equivariant cohomology of Laumon spaces by certain natural correspondences. This gives a natural representation-theoretic explanation of the appearance of Toda system in quantum cohomology of flag varieties.

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