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

Alexander Braverman, Michael Finkelberg

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Let G be a reductive group and let Ǧ be its Langlands dual. We give an interpretation of the dynamical Weyl group of Ǧ defined in [5] in terms of the geometry of the affine 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 affine Kac-Moody groups.

Original languageEnglish
Pages (from-to)505-512
Number of pages8
JournalMathematical Research Letters
Volume18
Issue number3
DOIs
Publication statusPublished - May 2011
Externally publishedYes

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