Extensions of Discrete Toda Lattices and their Application to Box-Ball Systems
Delve into discrete integrable systems, exploring Toda lattices, box-ball systems, and their mathematical applications through advanced theoretical physics and mathematical frameworks.
Quadratic Differentials and Degenerate Eigenvalues
Explore the relationship between quadratic differentials and degenerate eigenvalues in discrete integrable systems through advanced mathematical concepts and theoretical physics applications.
Integrable Difference Equations and Orthogonal Polynomials with respect to a Discrete Measure
Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and probabilistic models through expert-led mini-courses and workshops.
Skew Column RSK Dynamics and the Box-Ball System
Explore discrete integrable systems through RSK dynamics and Box-Ball systems, focusing on mathematical structures, quantum groups, and stochastic processes in theoretical physics.
Twisted (Co)homology of Matroids and Hyperplane Arrangement Complements
Delve into advanced mathematical concepts exploring twisted (co)homology, hyperplane arrangements, and matroidal pairings, with applications to scattering amplitudes in physics.