Yang-Baxter Equation Courses and Certifications

Kavli Institute for Theoretical Physics

The Yang-Baxter Equation and Long-Range Interactions

Explore the Yang-Baxter equation and long-range interactions in integrable models, bridging mathematical physics, condensed matter, and string theory. Gain insights from recent advances in this field.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

International Mathematical Union

Allen Knutson- Schubert Calculus and Quiver Varieties

Explore Schubert calculus, quiver varieties, and their connections through puzzle rules, Yang-Baxter equations, and representation theory in this advanced mathematics lecture.

• YouTube
• 30 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Vertex Model Integrability for Stochastic Particle Systems

Explore integrable stochastic particle systems and their connection to vertex models. Learn about TASEP, Yang-Baxter equations, and applications in mathematics and biology.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Scaling Limit of Colored Asymmetric Simple Exclusion Process

Explore the scaling limit of colored ASEP using Yang-Baxter equation and Gibbs line ensemble techniques, revealing connections to the KPZ universality class and related probabilistic objects.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Institute for Advanced Study

Hybrid Generic Pipe Dreams for Lower-upper Varieties

Delve into advanced mathematical concepts connecting pipe dream formulae, exploring hybrid and generic variations in relation to Schubert polynomials and lower-upper varieties.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

BIMSA

Tetrahedron Duality - ICBS 2024

Explore the Zamolodchikov tetrahedron equation, its role in 3D field theories, and its connection to supersymmetric gauge theory and quantum field theory duality.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Duality, Onsager Algebra and Ising-Type Structures in Root-of-Unity Six-Vertex Models

Explore duality, Onsager algebra, and Ising-type structures in root-of-unity six-vertex models. Uncover connections between quantum group representations and symmetries in integrable systems.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

The Origin of Trigonometric K-matrices - Part III

Explore the universal K-matrix in quantum integrable systems with boundaries, focusing on its role in generating trigonometric K-matrices for finite-dimensional representations.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

The Origin of Trigonometric K-matrices - Part I

Explore the mathematical foundations of quantum integrability with boundaries, focusing on K-matrices and their universal properties in relation to quantum affine algebras and reflection equations.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

IPhT-TV

Introduction to Quantum Integrability - Lecture 5

Explore advanced concepts in quantum integrability, focusing on key theories and applications in theoretical physics. Delve into complex mathematical frameworks and their relevance to quantum systems.

• YouTube
• 2 hours 24 minutes
• Self-Paced
• Free Video

IPhT-TV

Introduction to Quantum Integrability - Lecture 4 of 5

Explore advanced concepts in quantum integrability, focusing on theoretical foundations and mathematical techniques for analyzing integrable quantum systems.

• YouTube
• 2 hours 27 minutes
• Self-Paced
• Free Video

IPhT-TV

Introduction to Quantum Integrability - Lecture 3 of 5

Explore quantum integrability concepts, focusing on advanced topics and theoretical foundations in this comprehensive lecture series.

• YouTube
• 2 hours 25 minutes
• Self-Paced
• Free Video

IPhT-TV

Introduction to Quantum Integrability - Lecture 2 of 5

Explore quantum integrability concepts, focusing on advanced mathematical techniques and theoretical foundations in this comprehensive lecture series.

• YouTube
• 2 hours 20 minutes
• Self-Paced
• Free Video