Lower Tail Large Deviations for the Stochastic Six Vertex Model

Explore a one-hour lecture on lower tail large deviations for the stochastic six vertex model, presented as part of the "Discrete Integrable Systems" program at the International Centre for Theoretical Sciences. Delve into the mathematical foundations of integrable systems, focusing on their exact solvability and conservation properties within the context of discrete models. Learn how these systems connect to various branches of theoretical physics and mathematics, including statistical physics, string theory, combinatorics, representation theory, geometry, and probability. Gain insights into the relationships between integrable difference equations, cluster algebras, and probabilistic models, with particular emphasis on the stochastic six vertex model's behavior and its large deviation principles. Participate in this advanced mathematical discussion that bridges multiple disciplines and contributes to understanding both integrable and non-integrable systems within the same universality class.