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

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Valentin Buciumas
Stanford University/MPIM
Tue, 2016-12-13 14:00 - 15:00
MPIM Lecture Hall

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. 


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