Schubert polynomials and Quiver formulas

Alexander Yong

University of Michigan

October 4,
refreshments at 3:45pm


Fulton's Universal Schubert polynomials represent general degeneracy loci for maps of vector bundles with rank conditions coming from a permutation. The Buch-Fulton Quiver formula expresses this polynomial as an integer linear combination of products of Schur polynomials in the differences of the bundles. We present a positive combinatorial formula for the coefficients. Our formula counts sequences of semi-standard Young tableaux satisfying certain conditions.

This is joint work with Anders Buch, Andrew Kresch and Harry Tamvakis.

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

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

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