Date: | Mon, September 7, 2009 |
Time: | 17:15 |
Place: | Research II Lecture Hall |
Abstract: In this talk I will explain how the celebrated theorem of Borel-Weil-Bott provides a natural realization of some extreme components of the tensor product of two irreducible modules of simple algebraic groups. I will also discuss a number of connections of our construction with problems coming from Representation Theory, Combinatorics, and Geometry, including questions about the Littlewood-Richardson cone related to Horn's conjecture, settled by Knutson and Tao in the late 1990's. The talk is based on a joint work with Mike Roth.