Affine Gelfand-Tsetlin bases and affine Laumon spaces
Duration: 1 hour 2 mins 38 secs
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| Description: |
Finkelberg, M (State, Moscow)
Thursday 26 March 2009, 10:00-11:00 A seminar from the Algebraic Lie Structures with Origins in Physics Workshop |
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| Created: | 2011-05-24 10:03 | ||||
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| Collection: | Algebraic Lie Theory | ||||
| Publisher: | Isaac Newton Institute for Mathematical Sciences | ||||
| Copyright: | Finkelberg, M | ||||
| Language: | eng (English) | ||||
| Credits: |
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| 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. |
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