R\'esolutions de Demazure affines et formule de Casselman-Shalika g\'eom\'etrique
Algebraic Geometry
2007-05-23 v1
Abstract
We prove a conjecture of Frenkel, Gaitsgory, Kazhdan and Vilonen, related to Fourier coefficients of spherical perverse sheaves on the affine Grassmannian associated to a a split reductive group. Our proof is an extension of the proof given by the first author in the case of GL(n) (see math/9801109); it relies on the study of certain resolutions of Schubert varieties in the affine Grassmannian, built from the so-called minuscule or quasi-minuscule cases.
Keywords
Cite
@article{arxiv.math/0005022,
title = {R\'esolutions de Demazure affines et formule de Casselman-Shalika g\'eom\'etrique},
author = {B. C. Ngo and P. Polo},
journal= {arXiv preprint arXiv:math/0005022},
year = {2007}
}
Comments
33 pages, to appear in Journal of Algebraic Geometry