Toda Lattice Courses and Certifications

BIMSA

Multi-Component Toda Lattice Hierarchy

Explore the mathematical structure and properties of multi-component Toda lattice hierarchy systems in this advanced mathematical physics presentation.

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

Centre de recherches mathématiques - CRM

Polynuclear Growth and the Toda Lattice

Explore polynuclear growth models in KPZ universality, examining integrable Markov processes and determinantal formulas governed by the non-Abelian 2D Toda lattice.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Banach Manifolds and Integrable Systems - KdV and Toda-Lattice Applications

Explore integrable systems like KdV and Toda-lattice through the lens of Banach manifolds, examining their Poisson and symplectic structures in infinite-dimensional geometry.

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

International Centre for Theoretical Sciences

The Relativistic Toda Lattice and Quantum K-Schubert Classes of the Flag Variety

Explore the mathematical foundations of discrete integrable systems through relativistic Toda lattice and quantum K-Schubert classes, focusing on flag variety applications and theoretical physics connections.

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

Harvard CMSA

The Toda Lattice as a Soliton Gas

Delve into the Toda lattice as an integrable system, exploring how it behaves as a soliton gas under random initial data, with connections to random matrix theory and Lyapunov exponents.

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

IMSA

Toda Lattice, Billiards & the Viterbo Conjecture

Exploração da relação entre o reticulado de Toda, bilhares e a conjectura de Viterbo, com foco em sistemas integráveis e transformações simpléticas de produtos lagrangianos.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - The Toda Lattice and Symplectic Balls

Dive into the mathematical exploration of the Toda lattice and its relationship with symplectic balls in this lecture by Yaron Ostrover from Tel Aviv University, part of the Systolic and Diastolic Geometry event.

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

International Centre for Theoretical Sciences

Generalized Hydrodynamics by Herbert Spohn

Explore integrable many-body systems and their unique hydrodynamic equations, featuring extensive conserved fields. Focus on repulsive delta Bose gas and Toda lattice examples.

• YouTube
• 1 hour 30 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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 3

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 1

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 2

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Applications - Lecture 3

Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.

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

International Centre for Theoretical Sciences

Ruijsenaars and Toda Integrable Systems

Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and their applications in theoretical physics and probability theory.

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

International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Applications - Lecture 2

Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.

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