Solvable lattice models and Grothendieck polynomials
- Event Type
- Lecture
- Sponsor
- Algebra, Geometry, Combinatorics Seminar
- Location
- 3217 Everitt Laboratory
- Date
- Aug 31, 2023 3:00 pm
- Speaker
- Andrew Hardt (UIUC)
- Views
- 36
Two of the most important formulas for Schubert (or Grothendieck) polynomials are a) as a generating function over reduced pipe dreams; and b) as a Demazure recursion on the Bruhat graph. Solvable lattice models are combinatorial objects that encode both of these perspectives. We'll give an overview of lattice models, describe the Yang-Baxter equation along with some of its far-reaching consequences, and describe in the case of Schubert and Grothendieck polynomials how formulas a) and b) arise from the lattice model.