Formulas for quiver varieties and Stanley symmetric functions

Anders Buch


November 10,
refreshments at 3:45pm


A quiver variety is a general type of degeneracy locus obtained by putting arbitrary rank conditions on a sequence of vector bundles with maps between them. Fulton and I proved a formula for the cohomology class of a quiver variety, which expresses this class as a linear combination of products of Schur polynomials. We have conjectured that the coefficients in this linear combination are non-negative and given by a generalized Littlewood-Richardson rule. I will describe this conjecture, as well as applications of the formula to Schubert polynomials and Stanley symmetric functions.

Speaker's Contact Info: abuch(at-sign)

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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