Introduction to Geometric Representation Theory, Part 1
David Ben-Zvi (University of Texas at Austin)
October 26, 2005
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Abstract: We'll explore the intimate relationship between the representation theory of Lie algebras and the geometry of flag varieties. In particular we'll consider the Borel-Weil theorem, identifying irreducible finite dimensional representations with line bundles, and the Beilinson-Bernstein theorem, identifying arbitrary representations with "sheaves with flat connection" (D-modules).