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Survey over localization theorems for representation theory of Lie algebras

Connections for Women: Geometric Representation Theory August 28, 2014 - August 29, 2014

August 29, 2014 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Christine Huyghe (Université de Strasbourg I (Louis Pasteur))
Location: MSRI: Simons Auditorium
Video

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.

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14069

H.264 Video 14069.mp4 311 MB video/mp4 rtsp://videos.msri.org/data/000/021/476/original/14069.mp4 Download
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