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Phone (951) 827-1012
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Differential Geometry: "A Natural Limit Of Bruhat Poisson Structure On G/B"

Friday, May 10, 2013 11:10a
UC Riverside Fine Arts Riverside, CA

In 1990, Lu and Weinstein, and independently Soibelmann, introduced a real algebraic Poisson structure on the complex flag variety G/B whose symplectic foliation coincided with the decomposition of G/B into Bruhat cells. We evolve this Poisson structure under a natural flow on G/B, obtaining a one-parameter family of real algebraic Poisson structures on G/B. Each Poisson structure in the family is invariant under the action of the compact real torus in G, but the limiting real Poisson structure turns… Show more

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UC Riverside Fine Arts
900 University Ave.
Riverside, CA 92521
(951) 827-1012
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