Schubert calculus and quantum integrability
Speaker: Professor Paul Zinn-Justin
Affiliation: University of Melbourne
Abstract
We report on recent progress in the field of Schubert calculus and its recently uncovered relation to quantum integrable systems. It is by now clear that the latter are quite useful in providing many explicit combinatorial formulae (``puzzle rules'') for intersection numbers for partial flag varieties; we shall describe these, and various extensions to e.g. equivariant K-theory, all of which generalize the classical Littlewood--Richardson rule. We shall also discuss the connection with the work of Okounkov et al on quantum integrability and Nakajima quiver varieties, providing a compelling geometric interpretation of all these combinatorial rules. This is joint work with A. Knutson.
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Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.
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