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Schubert calculus and self-dual puzzles

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Schubert calculus and self-dual puzzles
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19
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
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Puzzles are combinatorial objects developed by Knutson and Tao for computing the expansion of the product of two Grassmannian Schubert classes. I will describe how self-dual puzzles give the restriction of a Grassmannian Schubert class to the symplectic Grassmannian in equivariant cohomology. The proof uses the machinery of quantum integrable systems. Time permitting, I will also discuss so me ideas about how to interpret and generalize this result using Lagrangian correspondences and Maulik-Okounkovs table classes. This is joint work in progress with Allen Knutson and Paul Zinn-Justin.