Michael Wheeler - A vertex model proof of a correspondence due to Imamura--Mucciconi--Sasamoto

May 24, 2024
Recorded 24 May 2024. Michael Wheeler of the University of Melbourne presents "A vertex model proof of a correspondence due to Imamura--Mucciconi--Sasamoto" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: The q-Whittaker polynomials are a one-parameter generalization of Schur polynomials, with many nice combinatorial properties. It has been known for quite a few years that they admit two different formulas as partition functions of vertex models: one as a partition function of coloured lattice paths on a cylinder, and the other as a partition function of colourless lattice paths in the plane. In this talk I will explain where this correspondence comes from, and how when it is specialized appropriately, yields a vertex model proof of a match between q-Whittaker and periodic Schur measures, originally obtained by Imamura, Mucciconi and Sasamoto. This is based on a joint work with Jimmy He. Learn more online at: