Integrable Systems Courses and Certifications

Harvard CMSA

Symmetries of Periodic and Free Boundary Measures on Partitions

Explore the hidden distributional symmetry in periodic and free boundary q-Whittaker measures on partitions, including parameter exchanges and related Hall-Littlewood measures results.

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

Harvard CMSA

Pfaffian Point Process for TASEP on the Half Line - Part 3

Delve into the Pfaffian point process for TASEP on the half line, exploring integrable systems with Jan De Gier from University of Melbourne.

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

Harvard CMSA

Pfaffian Point Process for TASEP on the Half Line - Lecture 2 of 3

Explore the Pfaffian point process for TASEP on the half line in this advanced mathematical lecture by Jan De Gier, part of a series on integrable systems.

• YouTube
• 1 hour 1 minute
• 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

International Centre for Theoretical Sciences

The Odd Integrable System - Lecture 3

Explore invariant alternating forms in integrable systems and their connection to Hochschild cohomology of stable bundle moduli spaces with explicit formulas.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

BIMSA

Curvature-Homogeneous Riemannian 3-Manifolds and Integrable Systems

Explore curvature-homogeneous Riemannian 3-manifolds, surveying known examples and recent discoveries. Delve into connections with integrable systems, particularly Toda lattices, to construct new explicit examples.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Fields Institute

Finding Symplectic Balls in Disguise with Integrable Systems

Explore integrable systems to uncover hidden symplectic balls, delving into Hamiltonian geometry and its applications in mathematical physics.

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

NCCR SwissMAP

Lifting Hamiltonian Torus Actions to Integrable Systems

Explore finite dimensional integrability in mathematical physics, focusing on lifting Hamiltonian torus actions to integrable systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integrable Hamiltonian Systems from Poisson Reductions of Doubles: Quasi-Poisson Double Case - Part 3

Delve into advanced mathematical concepts of integrable Hamiltonian systems, focusing on Poisson reductions of doubles and their applications to SU(n) cases with quasi-Poisson structures.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integrable Hamiltonian Systems from Poisson Reductions of Doubles: Ruijsenaars-Schneider Systems - Part 2

Delve into advanced mathematical concepts of Poisson reductions in Heisenberg doubles, exploring degenerate integrability and Ruijsenaars-Schneider systems with applications to many-body physics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integrable Hamiltonian Systems from Poisson Reductions of Doubles - Part 1

Delve into advanced mathematical concepts of integrable Hamiltonian systems, exploring Poisson reductions, classical doubles, and their applications in semisimple Lie groups and cotangent bundles.

• YouTube
• 1 hour 8 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

Instituto de Matemática Pura e Aplicada

Deformations of Orthogonal Polynomials, Stochastic Growth Models, and Integrable Systems

Explore deformations of orthogonal polynomials and their connections to stochastic growth models and integrable systems in this advanced mathematical analysis presentation.

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

Centre de recherches mathématiques - CRM

Extensions of Vertex Operator Algebras and Applications to Integrable Systems II

Explore advanced vertex operator algebra extensions and their connections to quantum groups, integrable systems, and the geometric Langlands program through tensor category techniques.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Extensions of Vertex Operator Algebras and Applications to Integrable Systems I

Explore vertex operator algebra extensions and their deformations, connecting quantum groups, tensor categories, and integrable systems with applications to critical level algebras.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video