# Departmental Seminar

## From exactly solvable lattice models to symmetric functions: two examples

**Professor Paul Zinn-Justin**

**Wednesday 1 April 2015 11am–12pm**

**Theoretical Physics seminar room, Le Couteur (Bldg #59), L.3.17**

We'll discuss an approach to studying certain families of symmetric polynomials which is based on exactly solvable two-dimensional lattice models. After explaining the general strategy on the classical case of Schur polynomials/functions, we'll provide two more advanced examples: Hall--Littlewood polynomials and Grothendieck polynomials. As an application, we shall describe new Cauchy-type identities for the former (as well as their type BC counterparts), and variations on the Littlewood--Richardson rule for the latter.