Spaces of quasi-maps into the flag varieties and their applications
| dc.creator | Braverman, Alexander | |
| dc.date | 2006-03-18 | |
| dc.date | 2006-03-22 | |
| dc.date.accessioned | 2026-07-07T07:07:03Z | |
| dc.date.available | 2026-07-07T07:07:03Z | |
| dc.description | Given a projective variety X and a smooth projective curve C one may consider the moduli space of maps C --> X. This space admits certain compactification whose points are called quasi-maps. In the last decade it has been discovered that in the case when X is a (partial) flag variety of a semi-simple algebraic group G (or, more generally, of any symmetrizable Kac-Moody Lie algebra) these compactifications play an important role in such fields as geometric representation theory, geometric Langlands correspondence, geometry and topology of moduli spaces of G-bundles on algebraic surfaces, 4-dimensional super-symmetric gauge theory (and probably many others). This paper is a survey of the recent results about quasi-maps as well as their applications in different branches of representation theory and algebraic geometry. | |
| dc.description | some references are corrected; 26 pages; to appear in the Proceedings of ICM 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0603454 | |
| dc.identifier | http://arxiv.org/abs/math/0603454 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110250 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Spaces of quasi-maps into the flag varieties and their applications | |
| dc.type | text |