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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Affine Gelfand-Tsetlin bases and affine Laumon spaces

## Affine Gelfand-Tsetlin bases and affine Laumon spacesAdd to your list(s) Download to your calendar using vCal - Finkelberg, M (State, Moscow)
- Thursday 26 March 2009, 10:00-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Algebraic Lie Theory Affine Laumon space P is the moduli space of parabolic sheaves of rank n on the product of 2 projective lines. The natural correspondences give rise to the action of affine Yangian of sl(n) on the equivariant cohomology of P. The resulting module M is isomorphic to the universal Verma module over the affine gl(n). The classes of torus fixed points form a basis of M which is an affine analogue of the classical Gelfand-Tsetlin basis. The Chern classes of tautological vector bundles on P can be computed in terms of the affine Yangian action on M. This is a joint work with B.Feigin, A.Negut, and L.Rybnikov. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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