TY - JOUR
T1 - Dynamical Weyl groups and equivariant cohomology of transversal slices on affine Grassmannians
AU - Braverman, Alexander
AU - Finkelberg, Michael
PY - 2011/5
Y1 - 2011/5
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/79957850223
U2 - 10.4310/MRL.2011.v18.n3.a10
DO - 10.4310/MRL.2011.v18.n3.a10
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AN - SCOPUS:79957850223
SN - 1073-2780
VL - 18
SP - 505
EP - 512
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 3
ER -