Ngô, Bao Châu; Polo, P. Affine Demazure resolutions and the geometric Casselman-Shalika formula. (Résolutions de Demazure affines et formule de Casselman-Shalika géométrique.) (French) Zbl 1041.14002 J. Algebr. Geom. 10, No. 3, 515-547 (2001). Summary: We prove a conjecture of E. Frenkel, D. Gaitsgory, D. Kazhdan and K. Vilonen [J. Am. Math. Soc. 11, 451–484 (1988; Zbl 1068.11501)] which is supported by a paper by W. Casselman and J. Shalika [Compos. Math. 41, 207–231 (1980; Zbl 0472.22005)] related to Fourier coefficients of spherical perverse sheaves on the affine Grassmannian associated to a split reductive group. Cited in 1 ReviewCited in 30 Documents MSC: 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 14G15 Finite ground fields in algebraic geometry 14M15 Grassmannians, Schubert varieties, flag manifolds Keywords:characteristic \(p\); Demazure resolution; spherical perverse sheaves; Grassmannian Citations:Zbl 0472.22005; Zbl 1068.11501 PDFBibTeX XMLCite \textit{B. C. Ngô} and \textit{P. Polo}, J. Algebr. Geom. 10, No. 3, 515--547 (2001; Zbl 1041.14002) Full Text: arXiv