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

Alexander Braverman; Michael Finkelberg

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arXiv · 1010.2135

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

Alexander Braverman·Michael Finkelberg

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Abstract

Let G be a reductive group; in this note we give an interpretation of the dynamical Weyl group of of the Langlands dual group $\check{G}$ defined by Etingof and Varchenko in terms of the geometry of the affine Grassmannian Gr of G. In this interpretation the dynamical parameters of Etingof and Varchenko 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 affine Kac-Moody groups.

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BibTeX RIS

Alexander Braverman, Michael Finkelberg. 2010-10-11. Dynamical Weyl groups and equivariant cohomology of transversal slices in affine Grassmannians. https://arxiv.org/abs/1010.2135

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