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Flag varieties and representations

Stephen Morgan
(University of Toronto)
Seminar
Onsdag, 20 oktober, 2010, at 16:15-17:45, in Aud. D3 (1531-215)
Abstrakt:
We will explore some of the relationships between the geometry of the flag variety of a semisimple algebraic group and its representation theory. Using the example of SL(n) as a guide, we'll progress from the basic definitions through Schubert cells and the Borel-Weil-Bott theorem, which expresses a relationship between representations of the group and line bundles on its flag variety. No specific knowledge of the geometry of simple groups is required.

The seminar includes a 10 minute break.

Organiseret af: CTQM/QGM
Kontaktperson: Jørgen Ellegaard Andersen