Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves
| dc.creator | Frenkel, E. | |
| dc.creator | Gaitsgory, D. | |
| dc.creator | Vilonen, K. | |
| dc.date | 1999-07-21 | |
| dc.date | 2000-11-29 | |
| dc.date.accessioned | 2026-07-07T05:29:58Z | |
| dc.date.available | 2026-07-07T05:29:58Z | |
| dc.description | Let G be a split connected reductive group over a finite field F_q, and N its maximal unipotent subgroup. V. Drinfeld has introduced a remarkable partial compactification of the moduli stack of N-bundles on a smooth projective curve X over F_q. In this paper we study Drinfeld's moduli space and a certain category of perverse sheaves on it. The definition of this category is motivated by the study of the Whittaker functions on the group G(K), where K=F_q((t)). We prove that our category is semi-simple, and that irreducible objects of this category are "clean", i.e., they are extenstions by 0 of local systems supported on the strata. As an application of these results, we obtain a purely geometric proof of the Casselman-Shalika formula for the Whittaker functions. | |
| dc.description | 45 pages, Latex; final version to appear in Annals of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/9907133 | |
| dc.identifier | http://arxiv.org/abs/math/9907133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78853 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves | |
| dc.type | text |