Vertex Model Proof of Imamura-Mucciconi-Sasamoto Correspondence

Explore a 51-minute lecture on q-Whittaker polynomials and their connection to vertex models, presented by Michael Wheeler from the University of Melbourne. Delve into the intricacies of two different formulas for q-Whittaker polynomials as partition functions of vertex models: one involving colored lattice paths on a cylinder and another using colorless lattice paths in the plane. Discover the origins of this correspondence and how its appropriate specialization leads to a vertex model proof of a match between q-Whittaker and periodic Schur measures, originally established by Imamura, Mucciconi, and Sasamoto. Gain insights into this collaborative work with Jimmy He, presented at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop.