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SUMMARY:Affine Gelfand-Tsetlin bases and affine Laumon spaces - Finkelberg
 \, M (State\, Moscow)
DTSTART:20090326T100000Z
DTEND:20090326T110000Z
UID:TALK17549@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Affine Laumon space P is the moduli space of parabolic sheaves
  of rank n on the product of 2 projective lines. The natural correspondenc
 es give rise to the action of affine Yangian of sl(n) on the equivariant c
 ohomology of P. The resulting module M is isomorphic to the universal Verm
 a module over the affine gl(n). The classes of torus fixed points form a b
 asis of M which is an affine analogue of the classical Gelfand-Tsetlin bas
 is. The Chern classes of tautological vector bundles on P can be computed 
 in terms of the affine Yangian action on M. \n\nThis is a joint work with 
 B.Feigin\, A.Negut\, and L.Rybnikov.
LOCATION:Seminar Room 1\, Newton Institute
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