SEMINAR: Groups and Combinatorics Seminar: Factorial Schur Polynomials from the viewpoint of the Six Vertex Model

Groups and Combinatorics Seminar

Peter McNamara (Stanford)

will speak on

Factorial Schur Polynomials from the viewpoint of the Six Vertex Model

at 1pm Tuesday 10th August in MLR2

Abstract: The factorial Schur polynomials, also known as double Schubert polynomials for Grassmannian permutations are a family of polynomials in two alphabets of variables that generalise the classical Schur functions. Their biggest claim to fame is that they compute the equivariant cohomology of Grassmannians. In this talk, we present the appearance of factorial Schur polynomials combinatorially as the value of a partition function on a well chosen six vertex model from statistical mechanics. This combinatorial approach is suggestive of an underlying phenomenon waiting to be understood. This is joint work with Daniel Bump and Maki Nakasuji.

All welcome.