Functional equations for Weyl group multiple Dirichlet series via the Yang-Baxter equation

Weyl group multiple Dirichlet series are Dirichlet series in r complex variables that (at least conjecturally)  satisfy a group of functional equations isomorphic to the Weyl group of an irreducible root system of rank r and have meromorphic continuation to all of $\mathbb{C}^r$. They appear naturally in the coefficients of Eisenstein series on the metaplectic covers of reductive groups. In this talk I will introduce Weyl group multiple Dirichlet series and present a way to prove they satisfy functional equations by using the theory of two dimensional lattice models and the Yang-Baxter equation.