On the geometric Langlands conjecture
| dc.creator | Frenkel, E. | |
| dc.creator | Gaitsgory, D. | |
| dc.creator | Vilonen, K. | |
| dc.date | 2000-12-27 | |
| dc.date | 2001-10-17 | |
| dc.date.accessioned | 2026-07-07T04:39:25Z | |
| dc.date.available | 2026-07-07T04:39:25Z | |
| dc.description | Let X be a smooth, complete, geometrically connected curve over a field of characteristic p. The geometric Langlands conjecture states that to each irreducible rank n local system E on X one can attach a perverse sheaf on the moduli stack of rank n bundles on X (irreducible on each connected component), which is a Hecke eigensheaf with respect to E. In this paper we derive the geometric Langlands conjecture from a certain vanishing conjecture. Furthermore, using recent results of Lafforgue, we prove this vanishing conjecture, and hence the geometric Langlands conjecture, in the case when the ground field is finite. | |
| dc.identifier | https://arxiv.org/abs/math/0012255 | |
| dc.identifier | http://arxiv.org/abs/math/0012255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60656 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the geometric Langlands conjecture | |
| dc.type | text |