Stochastic symplectic ice: a stochastic vertex model with U-turn boundary

In this talk, we present a novel solvable lattice model which we term "stochastic symplectic ice" with stochastic weights and U-turn right boundary. The model can be interpreted probabilistically as a new interacting particle system in which particles jump alternately between right and left. We also introduce two colored versions of the model -- one of which involves "signed color" -- and the related stochastic dynamics. We then show how the functional equations and recursive relations for the partition functions of those models can be obtained using the Yang-Baxter equation. Finally, we show that the recursive relations satisfied by the partition function of one of the colored models are closely related to Demazure-Lusztig operators of type C.

Zoom link will be here one hour before the talk. Write me (naprienko [at] stanford.edu (naprienko[at]stanford[dot]edu)) if you want to be added to the email list of the seminar and get Zoom links for upcoming talks.