Localization of g^-modules on the affine Grassmannian
| dc.creator | Frenkel, Edward | |
| dc.creator | Gaitsgory, Dennis | |
| dc.date | 2005-12-26 | |
| dc.date.accessioned | 2026-07-07T06:55:45Z | |
| dc.date.available | 2026-07-07T06:55:45Z | |
| dc.description | We consider the category of modules over the affine Kac-Moody algebra g^ of critical level with regular central character. In our previous paper math.RT/0508382 we conjectured that this category is equivalent to the category of Hecke eigen-D-modules on the affine Grassmannian G((t))/G[[t]]. This conjecture was motivated by our proposal for a local geometric Langlands correspondence. In this paper we prove this conjecture for the corresponding I^0 equivariant categories, where I^0 is the radical of the Iwahori subgroup of G((t)). Our result may be viewed as an affine analogue of the equivalence of categories of g-modules and D-modules on the flag variety G/B, due to Beilinson-Bernstein and Brylinski-Kashiwara. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512562 | |
| dc.identifier | http://arxiv.org/abs/math/0512562 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106384 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Localization of g^-modules on the affine Grassmannian | |
| dc.type | text |