Local relations and q-moments of height functions of stochastic vertex models
Location
I will talk about the stochastic six-vertex model from the integrable probability point of view. Namely, I will describe a new way to use the model's solvability by focusing on a specific recurrence relation (called local relation) on q-deformed moments of the height function. This relation leads to a short but non-constructive proof of the integral expressions for these moments. I will also sketch recent results about the colored stochastic six-vertex model, obtained using this technique.
Based on joint work with Alexey Bufetov.
Zoom link: https://stanford.zoom.us/j/91274693500?pwd=bmtHZnhTMG1HQ3pTOHYxUWJ2Z1ZjQT09
Zoom ID: 912 7469 3500
Password: 3628800 (= 10!).