Spacetime Correlations of the Classical Toda Chain in Thermal Equilibrium
Explore spacetime correlations in the classical Toda chain, comparing molecular dynamics simulations with Landau-Lifshitz theory predictions based on generalized hydrodynamics.
Generalised Hydrodynamics for Classical Particle Systems
Explore generalised hydrodynamics in classical particle systems, focusing on asymptotic coordinates mapping and its applications in integrable systems like box-ball and Toda.
Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part 1
Explorez l'intégrabilité des systèmes de boîtes à boules et leurs versions aléatoires. Découvrez les liens avec la théorie des cristaux, l'ansatz de Bethe et l'ultradiscrétisation dans ce domaine fascinant des mathématiques.
Some Results for Hard Rods of Inhomogeneous Size
Explore results for hard rods of varying sizes in particle systems. Analyze hydrodynamic equations, Cauchy problems, and effective velocities in comparison to soliton gas models.
Box-Ball Systems: Reviews and Recent Developments - Lecture 1
Explore box-ball systems' integrability, combinatorial Yang-Baxter equation, and generalizations. Delve into Kirillov-Reshetikhin crystals and recent developments in boundary conditions.
Invariant Measures for KPZ Systems with Boundaries
Explore invariant measures for KPZ systems with boundaries in this mathematical workshop presentation by Ivan Corwin.
Polynuclear Growth and the Toda Lattice
Explore polynuclear growth models in KPZ universality, examining integrable Markov processes and determinantal formulas governed by the non-Abelian 2D Toda lattice.
Direct and Inverse Scattering for the Ultradiscrete KdV Equation
Explore direct and inverse scattering methods for solving the ultradiscrete KdV equation, including the Takahashi-Satsuma Box & Ball system, using Darboux transformations and eigenfunctions.
Viewpoints Brought by the Box and Ball System
Explore the box and ball system's evolution from cellular automaton to integrable system, examining its applications in traffic flow, pattern formation, and chaos through ultradiscretization and max-plus representations.
Belavin-Drinfeld Quantum Groups - Survey and Future Directions
Explore Belavin-Drinfeld quantum groups, their deformations, and connections to semi-simple algebraic Poisson groups. Survey current knowledge, conjectures, and future research directions in this field.
Gap Labelling II
Explore advanced concepts in gap labelling theory, focusing on periodic and ergodic spectral problems in mathematical physics.
Potential Theoretic Methods for Deterministic Schrödinger Operators
Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.
Large Coupling Limits of Integrable Spin Chains
Explore dynamics of integrable spin chains, focusing on XXZ chain and Hubbard model. Examine large coupling limits and emerging effective theories in various physical situations.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 3
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4
Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 4
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
Fermionic Forms in Logarithmic Vertex Operator Algebras and BPS Quivers
Explore connections between quantum groups, vertex algebras, and quiver representations. Uncover new insights into fermionic forms and their applications in representation theory and enumerative geometry.
Supervertex Operator Algebras and Exceptional Finite Groups - Theo Johnson-Freyd
Explore N=1 SVOAs classification, automorphism groups, and connections to exceptional finite groups. Discover duality, gauging, and coset models in relation to Mathieu groups and Conway Moonshine SCFT.
VOAs from Higher-Dimensional Quantum Field Theories - Part I
Explore vertex operator algebras from quantum field theories in 2-6 dimensions, focusing on connections to other mathematical branches.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 2
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures, en mettant l'accent sur leurs liens avec d'autres domaines mathématiques.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 1
Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.