Exact Calculation of Degrees for Lattice Equations - A Singularity Approach

Watch a 55-minute lecture from the International Centre for Theoretical Sciences program on discrete integrable systems where Takafumi Mase explores the exact calculation of degrees for lattice equations using a singularity approach. Delve into advanced mathematical concepts within the broader context of difference equations, cluster algebras, and probabilistic models. Learn about integrable systems' key properties of exact solvability and conservation quantities, with particular focus on discrete systems emerging from theoretical physics and mathematics. Understand how this research connects to topics like soliton solutions, ultradiscretization, cellular automata, quantum groups, tropical geometry, and stochastic processes. Part of a comprehensive two-week program featuring mini-courses, problem sessions, and workshops, supported by international research organizations and designed for both junior and senior researchers in the field of discrete integrable systems.