### Affine Gelfand-Tsetlin bases and affine Laumon spaces

Finkelberg, M *(State, Moscow)*

Thursday 26 March 2009, 10:00-11:00

Seminar Room 1, Newton Institute

#### Abstract

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.

#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

## Comments

Start the discussion!