Quantum Integrable Systems Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

What is the Universal Scaling Limit of Random Interface Growth and the KPZ Fixed Point - 3/3

Explore the KPZ fixed point and directed landscape as universal limits of random interface growth models, connecting quantum integrable systems to fluctuating hydrodynamics.

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

Harvard CMSA

On Integrable Quantum and Classical Circuits with Stochastic Boundaries

Explore matrix product solutions for quantum many-body Markov chains in Yang-Baxter integrable quantum circuits with stochastic boundaries, including applications to XXZ and Hubbard chain systems.

• YouTube
• 57 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

Centre de recherches mathématiques - CRM

Dynamics of Quantum Integrable Systems via Coupled Heisenberg Equations

Explore quantum integrable systems dynamics using coupled Heisenberg equations. Analyze Onsager algebra models and Kitaev model, uncovering new analytical results for quench dynamics and related algebras.

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

Kyoto-U OCW - Unofficial

Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems - Lecture 2

Delve into advanced mathematical concepts exploring curve counting, geometric representation theory, and quantum integrable systems with Professor Andrei Okounkov's expert analysis and insights.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

Kyoto-U OCW - Unofficial

Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems - Lecture 5

Delve into advanced mathematical concepts exploring curve counting, geometric representation theory, and quantum integrable systems with Professor Andrei Okounkov's expert analysis and insights.

• YouTube
• 2 hours 1 minute
• 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

BIMSA

Checkerboard Conformal Field Theory and Integrable Quantum Systems

Delve into advanced conformal field theory concepts through exploration of non-unitary logarithmic Fishnet CFTs, focusing on checkerboard structures, planar Feynman graphs, and integrable quantum systems.

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

NCCR SwissMAP

Agebc Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via Uq(sl2) Symmetry

Explore the Agebc Bethe ansatz for open XXZ spin chains, focusing on non-diagonal boundary terms and Uqsl2 symmetry in condensed matter physics.

• YouTube
• 48 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

Centre de recherches mathématiques - CRM

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.

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

Prague Mathematical Physics Seminar

Bethe Equations and 2D Conformal Field Theory

Explore Bethe equations and their connection to 2D conformal field theory in this advanced mathematical physics seminar.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Poisson-Lie Analogues of Spin Sutherland Models

Explore finite dimensional integrability in mathematical physics, focusing on Poisson-Lie analogues of spin Sutherland models.

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

Simons Foundation

Extreme Diffusion

Discover how extreme particles challenge Einstein's random walk theory and explore a revolutionary framework for understanding diffusion in large particle systems through advanced mathematics.

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

Harvard CMSA

Crystal Skeletons

Explore the mathematical concept of Crystal Skeletons with Sylvie Corteel in this integrable systems program lecture from UC Berkeley.

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