Explore a 90-minute lecture from the International Centre for Theoretical Sciences' program on discrete integrable systems, focusing on signed bijections related to Alternating Sign Matrices and Gelfand-Tsetlin patterns. Delve into advanced mathematical concepts as part of a comprehensive two-week program examining discrete integrable systems, difference equations, cluster algebras, and probabilistic models. Learn from expert organizers including Arvind Ayyer, Rei Inoue, Rinat Kedem, Sanjay Ramassamy, and Ralph Willox as they explore exactly solvable systems with conserved quantities. 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 format combining mini-courses, problem sessions, and workshop components, designed for both junior and senior researchers interested in discrete integrable systems and related fields. Read more