Extensions of Discrete Toda Lattices and their Applications - Lecture 2

Explore advanced mathematical concepts in this second lecture on Extensions of Discrete Toda Lattices and their applications, presented by Satoshi Tsujimoto at the International Centre for Theoretical Sciences. Delve into discrete integrable systems, focusing on difference equations, cluster algebras, and probabilistic models as part of a comprehensive two-week program. Learn about the fundamental properties of integrable systems, their exact solvability, and conservation quantities while examining both continuous and discrete examples developed over the past 60 years. Gain insights into three key research areas: integrable difference equations and their soliton solutions, cluster algebra structures in discrete integrable systems, and integrable probability including interacting particle systems and stochastic growth models. Benefit from a structured learning environment that combines theoretical lectures with problem-solving sessions, designed for both junior and senior researchers interested in discrete integrable systems and related mathematical fields.