Please join us for our next UVM Combinatorics Seminar:

Kohnert posets and polynomials of northeast diagrams

with Beth Anne Castellano
Dartmouth College

Abstract: Kohnert polynomials and their associated posets are combinatorial objects with deep geometric and representation theoretic connections, generalizing both Schubert polynomials and type A Demazure characters (key polynomials). In this project, we explore the properties of Kohnert polynomials and their posets indexed by northeast diagrams and the subclass of lock diagrams. We classify when these Kohnert posets are ranked and bounded, and when the Kohnert polynomials are monomial multiplicity-free.