Applied Algebra Seminar

York University - Fall 2002

September 16, 2002 - 4:30pm
Ross N638

Speaker: Alexander Yong

University of Michigan



Schubert polynomials and Quiver formulas 



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.



Algebra Seminar Home - Fall 2002