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Presented By: Schubert Seminar - Department of Mathematics

Ten Lectures on Schubert Polynomials. Lecture 8: Drift classes

William Fulton (Michigan)

We show that every Schubert polynomial has a decomposition as a sum of polynomials, each of which is given by a tableau formula. This corresponds to a decomposition of its set of bumpless pipe dreams into a disjoint union of classes we call drift classes. (The vexillary case, studied in the last two lectures, is the case when there is one drift class.)

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