| Speaker: | Zachary Hamaker |
| Affiliation: | University of Florida |
| Location: | MC 5417 |
Abstract: Schubert polynomials are monomial positive representatives for the classes of Schubert varieties in the complete flag variety. As such, they are a key tool for computation in Schubert calculus, an area of enumerative algebraic geometry. There are several combinatorial proofs of the monomial positivity of Schubert polynomials, but the first geometric explanation came much later in foundational work of Knutson and Miller. In this talk, I will discuss how to understand combinatorial formulas for Schubert polynomials via Grobner degeneration. This includes the Knutson-Miller work as well as related results by Klein-Weigandt and some work in progress. Results of mine presented come from two projects, one joint with Oliver Pechenik and Anna Weigandt, the other with Gabe Udell and Tianyi Yu.
There will be a pre-seminar presenting relevant background at beginning graduate level starting at 1:30pm in MC 5417.