Videos

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.
Supplementary Materials