Integrable Systems Courses and Certifications

International Mathematical Union

Algebraic-Geometrical Methods in the Theory of Integrable Systems

Explore algebraic-geometrical methods in integrable systems theory with renowned mathematician Igor Krichever, delving into advanced mathematical concepts and their applications.

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

Harvard CMSA

Classical, Quantum, and Probabilistic Integrable Systems - Novel Interactions and Applications

Explore advanced mathematical frameworks connecting classical mechanics, quantum systems, and probability theory through cutting-edge research presentations.

• YouTube
• 1 day 14 hours 58 minutes
• On-Demand
• Free Video

IMSA

Products of Matrices, Non-Abelian Hodge Theory, Integrable Systems, and Theories of Class S

Explore connections between Deligne-Simpson problem and Hitchin systems, delving into SCF Theories of Class S and 3D mirror symmetry in this advanced mathematics lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Forced Integrable Systems - The Case of Sine-Gordon Equation by Vasudeva Murthy

Explore forced integrable systems, focusing on the sine-Gordon equation. Examine its applications in tectonic stress transfer and crack dynamics, with insights on boundary conditions and numerical methods.

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

International Centre for Theoretical Sciences

Finite-Size Effects in Integrable Systems - Lecture 3

Explore finite-size effects, revivals, and conservation laws in integrable systems. Gain insights into macro states, thermodynamic entropy, and the string hypothesis for interacting models.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

BIMSA

Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis

Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Gelfand-Cetlin Analogues in Integrable Systems

Explore Gelfand-Cetlin analogues in integrable systems with Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.

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

Fields Institute

Lifting Torus Actions to Integrable Systems

Explore the mathematical concept of lifting torus actions to integrable systems, delving into advanced topics in Hamiltonian geometry and dynamical systems.

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

International Centre for Theoretical Sciences

Stationary Measures for Integrable Probabilistic Systems

Explore advanced mathematical concepts in integrable probabilistic systems, focusing on stationary measures, discrete models, and their applications in theoretical physics and mathematics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Banach Manifolds and Integrable Systems - KdV and Toda-Lattice Applications

Explore integrable systems like KdV and Toda-lattice through the lens of Banach manifolds, examining their Poisson and symplectic structures in infinite-dimensional geometry.

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

SCI MUNI

Dispersionless Integrable Systems in Five Dimensions - Revisiting XOX

Dive into advanced mathematical concepts exploring dispersionless integrable systems and their five-dimensional applications through innovative XOX methodology analysis.

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

BIMSA

Classical Integrable Systems on Stratified Symplectic Spaces

Explore classical integrable systems on stratified symplectic spaces through advanced mathematical analysis and geometric structures in this specialized lecture.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

BIMSA

Hydrodynamic Fluctuations in Integrable Many-Body Systems

Explore hydrodynamic fluctuations in integrable many-body quantum systems through advanced theoretical physics concepts and mathematical frameworks.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Kyoto-U OCW - Unofficial

Vertex Operator Algebras and Integrable Systems - Lecture 2

Delve into advanced mathematical concepts of vertex operator algebras, screening methods, W-algebras, and their applications in geometric Langlands theory and integrable systems with Boris Feigin.

• YouTube
• 2 hours 38 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Skew RSK Dynamics in Discrete Integrable Systems

Delve into discrete integrable systems, exploring soliton solutions, cluster algebras, and probabilistic models through advanced mathematical physics and theoretical applications.

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