Department of Mathematics - Seminar on Pure Mathematics - K-theoretic analogues of Demazure crystals

Key polynomials are characters of Demazure modules of the Borel subalgebra. They are a non-symmetric extension of Schur polynomials which represent the cohomology of Grassmannians. Key polynomials can be written as generating functions over tableaux. One can find these tableaux using a combinatorial model known as Demazure crystals. Lascoux polynomials can be viewed as the K-theoretic analogue of key polynomials. We introduce an analogue of Demazure crystals, obtaining a tableau formula for Lascoux polynomials.