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Monday, April 28, 2014

**Abstract:** Belkale and Kumar introduced a degeneration of the usual cup product on $H^*(G/P)$ which gives an optimal solution to the geometric Horn problem. In this talk, I will explain joint work with Bill Graham where we realize the Belkale-Kumar product using relative Lie algebra cohomology. We do this using a family in the variety of Lagrangian subalgebras.