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Presented By: Lectures on Schubert Polynomials

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Schubert Polynomials Lecture 10: Degeneracy loci and vexillary permutations

William Fulton (U. Michigan)

We give a (new?) simple formula for a degeneracy locus that characterizes back-stable double Schubert polynomials. Then, we give 10 equivalent conditions for a permutation to be vexillary, one of which is that its Schubert polynomial is a Schur determinant.

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