Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Weigandt Anna

Tuesday 5
Combinatorics
Eric Fusy
› 17:30 - 19:00 (1h30)
› SFU Harbour Center - Segal Centre Conference Rooms 1400 - 1410
The Prism tableau model for Schubert polynomials
Anna Weigandt  1  , Alexander Yong  2  
1 : Dept of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL
2 : Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

The Schubert polynomials lift the Schur basis of symmetric polynomials into a basis for Z[x1; x2; : : :]. We
suggest the prism tableau model for these polynomials. A novel aspect of this alternative to earlier results is that it
directly invokes semistandard tableaux; it does so as part of a colored tableau amalgam. In the Grassmannian case, a
prism tableau with colors ignored is a semistandard Young tableau. Our arguments are developed from the Gr¨obner
geometry of matrix Schubert varieties.



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