On a vanishing conjecture appearing in the geometric Langlands correspondence
| dc.creator | Gaitsgory, D. | |
| dc.date | 2002-04-07 | |
| dc.date | 2003-10-24 | |
| dc.date.accessioned | 2026-07-07T04:47:29Z | |
| dc.date.available | 2026-07-07T04:47:29Z | |
| dc.description | Let $X$ be a smooth complete curve, and let $Bun_n$ be the moduli stack of rank $n$ vector bundles on $X$. Let $E$ be a local system on $X$. In a recent paper of E.Frenkel, K.Vilonen and the author, it was shown that the vanishing of a certian functor $Av_E^d$ acting from the category $D(Bun_n)$ to itself, implies the geometric Langlands conjecture. In this paper we establish the required vanishing result. Our proof works for sheaves with char=0 coefficients, or with torsion coefficients when the parameter $d$ is less than the characteristic. | |
| dc.description | Revised version | |
| dc.identifier | https://arxiv.org/abs/math/0204081 | |
| dc.identifier | http://arxiv.org/abs/math/0204081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63734 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On a vanishing conjecture appearing in the geometric Langlands correspondence | |
| dc.type | text |