Integrable Systems Courses and Certifications

INI Seminar Room 2

Integrable Systems in Gravity: A Riemann-Hilbert Approach

Explore advanced mathematical techniques for solving gravitational field equations through Riemann-Hilbert approaches, focusing on Kasner solutions, Einstein-Rosen waves, and gravitational pulse waves.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

IMSA

Bohr-Sommerfeld Quantization and Non-commutative Algebras in Integrable Systems

Explore advanced mathematical concepts of Bohr-Sommerfeld quantization through non-commutative algebras and their application to holomorphic symplectic manifolds.

• YouTube
• 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Entanglement Transitions in Non-Hermitian Integrable Floquet Systems

Explore quantum entanglement transitions and their behavior in non-Hermitian integrable Floquet systems through advanced theoretical physics concepts and mathematical frameworks.

• YouTube
• 19 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Moduli Spaces of Instantons and Integrable Systems - From Calogero-Moser to DELL Systems

Explore the intricate relationship between equivariant cohomology theories of instanton moduli spaces and integrable systems, focusing on Calogero-Moser, Ruijsennars-Schneider, and DELL systems.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Integrable Systems and Toric Contact Forms on ℝℙ3

Explore integrable systems in symplectic geometry, focusing on geodesic flows on ellipsoids of revolution and their relationship to toric domains and fillings of ℝℙ3.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Hydrodynamics of Classical Integrable Many-Particle Systems

Explore hydrodynamics in classical integrable many-particle systems through advanced theoretical physics concepts and mathematical frameworks.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

QuantumTopology

9.12.2017 А.Е. Миронов - Алгебраическая интегрируемость магнитных бильярдов на плоскости

Исследование алгебраической интегрируемости магнитных бильярдов на плоскости, включая анализ их динамических свойств и математических особенностей.

• YouTube
• 46 minutes
• On-Demand
• Free Video

QuantumTopology

8.12.2017 А.Е. Миронов - Интегрируемые магнитные геодезические потоки на двумерном торе

Исследование интегрируемых магнитных геодезических потоков на двумерном торе, их свойств и применений в математической физике.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Slot Decomposition of the Box-Ball System - Part I

Explorez la décomposition en fentes du système de boîtes à balles, un automate cellulaire de transport conservant les solitons. Découvrez les composantes solitoniques et leur évolution hiérarchique.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Universal K-matrix and Fused K-operators in Quantum Affine Algebras

Explore universal K-matrices and fused K-operators in quantum algebras. Delve into the construction of transfer matrices and their applications to open spin-chains.

• YouTube
• 25 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Classical and Quantum Integrable Systems by Leon Takhtajan

Explore classical and quantum integrable systems, from historical examples to modern developments. Learn about Hamiltonian mechanics, r-matrix formalism, and the quantum Yang-Baxter equation.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Integrable and Non-Integrable Hamiltonian Systems - KAM Tori - Poincare Sections - Poisson Brackets

Explore integrable and non-integrable Hamiltonian systems, KAM theory, Poincaré sections, and Poisson brackets in this advanced dynamics lecture, offering insights into complex nonlinear systems and their behavior.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Hydrodynamic Scale for Integrable Classical Many-Body Systems - Herbert Spohn

Explores hydrodynamic scale in integrable classical many-body systems, covering generalized free energy, CMV matrices, and operator image. Offers insights into non-equilibrium physics and universality classes.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Determinants, Commuting Flows, and Recent Progress on Completely Integrable Systems

Explore recent developments in completely integrable nonlinear dispersive PDE, including a priori bounds, orbital stability, well-posedness, and Gibbs distributed initial data dynamics.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Ensembles of Random Matrices with Complex Potentials - Workshop on Integrable Systems

Explorez les résultats rigoureux récents sur l'expansion topologique et le diagramme de phase dans les ensembles de matrices aléatoires avec potentiels complexes cubiques et quartiques.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video