Yang-Baxter Equation Courses and Certifications

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
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

IPhT-TV

Introduction to Quantum Integrability - Lecture 1

Explore quantum integrability fundamentals with Jules Lamers in this comprehensive lecture, part of a five-part series delving into advanced concepts and applications.

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

IPhT-TV

Introduction to Quantum Integrability - Lecture 5

Explore quantum integrability, focusing on advanced concepts and applications in theoretical physics and mathematical physics.

• YouTube
• 2 hours 13 minutes
• On-Demand
• Free Video

IPhT-TV

Introduction to Quantum Integrability - Lecture 4

Explore quantum integrability concepts, focusing on advanced topics and applications in theoretical physics.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video