Survey over localization theorems for representation theory of Lie algebras
Connections for Women: Geometric Representation Theory August 28, 2014 - August 29, 2014
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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.
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