Hamiltonian Dynamics Courses and Certifications

NPTEL;  IIT Madras

Topics in Nonlinear Dynamics

Explore nonlinear dynamics with NPTEL's 29-hour program, covering topics from Hamiltonian dynamics to stochastic dynamics, with quizzes for self-assessment.

• YouTube
• 1 day 5 hours
• On-Demand
• Free Online Course

NPTEL;  IIT Madras

Topics in Nonlinear Dynamics

This is a basic course in classical mechanics at the senior undergraduate/ master's level. It covers the standard topics in this subject, including the Lagrangian and Hamiltonian formalisms. It also places the subject in the broader context of classical…

• YouTube
• 1 day 5 hours
• On-Demand
• Free Online Course

Gromov-Hausdorff Convergence of Filtered A Infinity Categories

Explore the Gromov-Hausdorff Convergence of Filtered A Infinity Categories with Kenji Fukaya from the University of Miami. Delve into Floer homology, Hamiltonian dynamics, and homological Mirror symmetry.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

Ross Dynamics Lab

Hamiltonian Systems Introduction - Why Study Them?

Dive into Hamiltonian and nonlinear dynamics with Ross Dynamics Lab. Learn the advantages of Hamiltonian systems, and transform Lagrangian systems via Legendre transformation. 1-2 hours workload.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Online Course

Ross Dynamics Lab

Stability of Periodic Orbits - Floquet Theory - Stable and Unstable Invariant Manifolds

Dive into Hamiltonian and nonlinear dynamics with Ross Dynamics Lab. Understand periodic orbits, invariant manifolds, and Floquet theory in a 1-2 hour study session.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

Institute for Advanced Study

Geometry and Topology of Hamiltonian Floer Complexes in Low-Dimension - Dustin Connery-Grigg

Explore the dynamics of non-degenerate Hamiltonian isotopies on surfaces with Dustin Connery-Grigg from the Institute for Advanced Study. Learn about Floer complexes, symplectically bi-invariant norms, and more.

• YouTube
• 31 minutes
• On-Demand
• Free Online Course

Simons Institute

A Theory of Trotter Error

Explore the theory of Trotter error in quantum computing with Simons Institute. Learn about product formulas, Hamiltonian dynamics, and quantum simulation. Gain insights into error types and representations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Fields Institute

Hamiltonian Geometry and Dynamics Behind Compressible Fluids

Learn Hamiltonian geometry and dynamics behind compressible fluids in less than an hour with Boris Khesin from the Fields Institute.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

Joint Mathematics Meetings

Symmetry and Asymmetry in Dynamics

Join the Joint Mathematics Meetings for a brief, insightful exploration of symmetry and asymmetry in dynamics, led by University of Chicago's Amie Wilkinson.

• YouTube
• 55 minutes
• On-Demand
• Conference Talk

Institute for Pure & Applied Mathematics (IPAM)

Introduction to Modelling Gravitational Waves from Compact Binaries

Explore gravitational wave modelling from compact binaries with Patricia Schmidt of the University of Birmingham. This IPAM tutorial covers inspiral, merger, and ringdown techniques. (1-2 hours)

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Asymmetry in Dynamics

Explore asymmetry in dynamical systems with Amie Wilkinson from the University of Chicago in this short lecture series co-hosted by IIT Bombay and ICTS-TIFR, Bengaluru.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course