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Geometry, Combinatorics and Integrable Systems Seminar - Anna Weigandt

Anna Weigandt
February 1, 2018
3:00PM - 4:00PM
Math Building 317

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Add to Calendar 2018-02-01 15:00:00 2018-02-01 16:00:00 Geometry, Combinatorics and Integrable Systems Seminar - Anna Weigandt Title: Prism Tableaux and Alternating Sign Matrices Speaker: Anna Weigandt (University of Illinois Urbana - Champaign) Abstract: A prism tableau is an overlay of semistandard tableaux. In joint work with A. Yong, prism tableaux were used to provide a formula for Schubert polynomials. This expression directly generalizes the tableau rule for Schur polynomials. We will discuss fillings of more general prism shapes. The resulting polynomials are multiplicity free sums of Schubert polynomials. The terms in this sum are determined by an associated alternating sign matrix. We use this connection to give a prism formula for the multidegrees of alternating sign matrix varieties. Seminar URL: https://people.math.osu.edu/anderson.2804/gcis/ Math Building 317 Department of Mathematics math@osu.edu America/New_York public

Title: Prism Tableaux and Alternating Sign Matrices

SpeakerAnna Weigandt (University of Illinois Urbana - Champaign)

Abstract: A prism tableau is an overlay of semistandard tableaux. In joint work with A. Yong, prism tableaux were used to provide a formula for Schubert polynomials. This expression directly generalizes the tableau rule for Schur polynomials. We will discuss fillings of more general prism shapes. The resulting polynomials are multiplicity free sums of Schubert polynomials. The terms in this sum are determined by an associated alternating sign matrix. We use this connection to give a prism formula for the multidegrees of alternating sign matrix varieties.

Seminar URLhttps://people.math.osu.edu/anderson.2804/gcis/

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