# Some neat characterizations of Kohnert diagrams

## University of Southern California

Abstract

Kohnert diagrams are combinatorial objects introduced in the thesis of Axel Kohnert, and in it he proved that one can use these diagrams to construct key polynomials (characters of Demazure modules in Type A). In this talk, I will describe several characterizations relating to Kohnert diagrams and the partial order on them as generated by Kohnert moves.