Integrability Courses and Certifications

ICTP-SAIFR

Three Different Scenarios of Chaos and Thermalization at Weak Integrability Breaking

Explore three distinct scenarios of chaos and thermalization when integrability is weakly broken in quantum many-body systems through advanced theoretical physics.

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

BIMSA

More is Different - A Path from Integrability to Quantum Chaos

Explore the transition from integrable systems to quantum chaos, examining how complex behaviors emerge when "more is different" in quantum mechanical systems.

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

BIMSA

Gauge Theory and Integrability

Explore the deep connections between gauge theory and integrable systems in this advanced mathematical physics lecture by Masahito Yamazaki.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Some Integrability Predictions for Very Quantum Strings in AdS5xS5 and Ext Groups and Deformations of AdS

Explore advanced string theory through integrability predictions for quantum strings in AdS5xS5 and Ext groups in AdS deformations with leading researchers.

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

IPhT-TV

The Problem of Detecting and Defining Integrability for Discrete Systems

Explore the mathematical challenges of identifying and characterizing integrability in discrete dynamical systems through advanced theoretical frameworks.

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

University of Chicago Department of Mathematics

The Massless Sine-Gordon Model - From Solitons to Integrability and Spontaneous Symmetry Breaking

Explore the massless sine-Gordon model in 2d quantum field theory, covering solitons, integrability, symmetry breaking, and connections to dimer models and free fermion points.

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

Institute for Pure & Applied Mathematics (IPAM)

Geometry, Statistical Mechanics, and Integrability Tutorials 2024

Explore advanced mathematical concepts connecting geometry, statistical mechanics, and integrability through expert tutorials on cluster algebras, vertex models, and discrete systems.

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

Kavli Institute for Theoretical Physics

Practical Integrability - David Weiss

Explores universal aspects of non-equilibrium many-body physics, focusing on novel phases and universality classes beyond equilibrium paradigms. Bridges statistical, AMO, condensed matter, and high-energy physics.

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

Kavli Institute for Theoretical Physics

Crosscap States and Integrability - Shota Komatsu

Explore recent advances in integrable models across mathematical physics, condensed-matter physics, and string theory, focusing on crosscap states and their role in integrability.

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

Kavli Institute for Theoretical Physics

Integrability in One Dimensional Classical Non-Equilibrium Statistical Mechanical Models

Explore integrability in one-dimensional classical non-equilibrium statistical mechanical models with Tomohiro Sasamoto. Gain insights into recent advances and applications in mathematical physics and condensed matter theory.

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

Kavli Institute for Theoretical Physics

Integrability of Conformal Symmetry - Volker Schomerus

Explore recent advances in integrable models across mathematical physics, condensed-matter physics, and string theory, focusing on conformal symmetry and its applications in various fields.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Superdiffusion, Subdiffusion, Integrability - Sarang Gopalakrishnan

Explores non-equilibrium many-body physics, focusing on superdiffusion, subdiffusion, and integrability in quantum systems. Discusses the XXZ spin chain and integrability-breaking, providing insights into transport phenomena and diffusion.

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

Institute for Pure & Applied Mathematics (IPAM)

Schubert Calculus and Quantum Integrability

Explore recent advancements in Schubert calculus and its connection to quantum integrable systems, focusing on combinatorial formulae for intersection numbers and their extensions.

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

Institute for Pure & Applied Mathematics (IPAM)

Geometry, Statistical Mechanics, and Integrability - IPAM at UCLA Spring 2024 Program

Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.

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

Centre de recherches mathématiques - CRM

Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part 1

Explorez l'intégrabilité des systèmes de boîtes à boules et leurs versions aléatoires. Découvrez les liens avec la théorie des cristaux, l'ansatz de Bethe et l'ultradiscrétisation dans ce domaine fascinant des mathématiques.

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