Noncommutative Counterparts of the Springer Resolution
| dc.creator | Bezrukavnikov, Roman | |
| dc.date | 2006-04-20 | |
| dc.date.accessioned | 2026-07-07T07:11:08Z | |
| dc.date.available | 2026-07-07T07:11:08Z | |
| dc.description | Springer resolution of the set of nilpotent elements in a semisimple Lie algebra plays a central role in geometric representation theory. A new structure on this variety has arisen in several representation theoretic constructions, such as the (local) geometric Langlands duality and modular representation theory. It is also related to some algebro-geometric problems, such as the derived equivalence conjecture and description of T. Bridgeland's space of stability conditions. The structure can be described as a noncommutative counterpart of the resolution, or as a $t$-structure on the derived category of the resolution. The intriguing fact that the same $t$-structure appears in these seemingly disparate subjects has strong technical consequences for modular representation theory. | |
| dc.description | ICM talk; 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604445 | |
| dc.identifier | http://arxiv.org/abs/math/0604445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111639 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Noncommutative Counterparts of the Springer Resolution | |
| dc.type | text |