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Regular version of the site

Article

Dynamical Weyl groups and equivariant cohomology of transversal slices on affine Grassmannians

Mathematical Research Letters. 2011. Vol. 18. No. 3. P. 505-512.
Finkelberg M. V., Braverman A.

Let G be a reductive group and let ·G be its Langlands dual. We give an interpretation of the dynamical Weyl group of ·G de¯ned in [5] in terms of the geometry of the a±ne Grassmannian Gr of G. In this interpretation the dynamical parameters of [5] correspond to equivariant parameters with respect to certain natural torus acting on Gr. We also present a conjectural generalization of our results to the case of a±ne Kac-Moody groups.