Mathematics Colloquium

Ivan Dimitrov

(Queen's University, Canada)

"A geometric realization of extreme components of the tensor product of modules over algebraic groups"


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.