Survey over localization theorems for representation theory of Lie algebras
Presenter
August 29, 2014
Keywords:
- D-module
- Kazhdan-Lusztig conjecture
- localization theorems
- proofs of Kazhdan-Lusztig conjecture
MSC:
- 20F55
- 20F40
- 20F24
- 14F10
- 13Nxx
- 32C38
Abstract
Kazhdan-Lusztig conjectures about representation theory of Lie algebras over the field of complex numbers were simultaneously proved around 1980 by Brylinski-Kashiwara and Beilinson-Bernstein. This result relies on a localization theorem of D-modules over flag varieties of semi-simple groups. In this talk we will explain what D-modules are, and this localization theorem.