The Relativistic Toda Lattice and Quantum K-Schubert Classes of the Flag Variety

Explore a 49-minute lecture from the International Centre for Theoretical Sciences' program on discrete integrable systems, focusing on the relativistic Toda lattice and quantum K-Schubert classes of the flag variety. Delve into advanced mathematical concepts as part of a comprehensive two-week program examining discrete integrable systems, their exact solvability, and conserved quantities. Learn about the intersection of theoretical physics and mathematics through three main research areas: integrable difference equations and their soliton solutions, cluster algebra structures in discrete integrable systems, and integrable probability. Participate in mini-courses, problem sessions, and workshops designed for both junior and senior researchers interested in discrete integrable systems and related fields. Benefit from collaborative support from the Japanese Society for the Promotion of Science, the Centre National de la Recherche Scientifique, and CEA Saclay, while engaging in an inclusive academic environment that encourages participation from diverse groups, particularly women and underrepresented communities.