New Signed Bijections Pertaining to Alternating Sign Matrices and Gelfand-Tsetlin Patterns

Watch a 23-minute lecture from the Discrete Integrable Systems program where Takuya Inoue explores new signed bijections related to alternating sign matrices and Gelfand patterns. Delivered at the International Centre for Theoretical Sciences, this talk is part of a comprehensive program examining discrete integrable systems, difference equations, cluster algebras and probabilistic models. The lecture contributes to the broader discussion of integrable systems' exact solvability properties and their conserved quantities, particularly focusing on discrete systems emerging from theoretical physics and mathematics. Learn about the intersection of combinatorics, representation theory, and integrable systems while exploring the algebraic structures underlying these mathematical concepts.