A new divided difference, with applications to Schubert polynomials

Abstract: I will talk about a new algebra of operations on polynomials which has the property $T_iT_j=T_jT_{i+1}$ for $i>j$ and a family of polynomials dual to them called forest polynomials. This family of operations plays the exact role for quasisymmetric polynomials and forest polynomials as the divided difference operations play for symmetric polynomials and Schubert polynomials. (Joint with Philippe Nadeau and Vasu Tewari)

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com