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Symplectic Duality in Geometric Representation Theory
Algebra & Discrete Mathematics| Speaker: | Anthony Licata, Stanford University |
| Location: | 1147 MSB |
| Start time: | Mon, Dec 3 2007, 4:10PM |
Many dualities in representation theory involve a pair of commuting algebras acting on a common space. In some cases these algebras can be constructed geometrically as convolution algebras, and the algebraic duality has an interesting geometric consequence, which we call symplectic duality. We will discuss how this symplectic duality occurs naturally in the representation theory of sl(n).
This is joint work with Tom Braden, Nick Proudfoot and Ben Webster.