February 1, 2018
3:00PM - 4:00PM
Math Building 317
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2018-02-01 16:00:00
2018-02-01 17:00:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
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Date Range
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
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/