Hamiltonian Dynamics Courses and Certifications

NPTEL;  IIT Madras

Topics in Nonlinear Dynamics

Explore nonlinear dynamics through critical points, Hamiltonian systems, bifurcations, limit cycles, discrete-time dynamics, and stochastic processes. Gain insights into complex system behaviors and analysis techniques.

• YouTube
• 1 day 5 hours
• On-Demand
• Free Video

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 Video

International Centre for Theoretical Sciences

Asymmetry in Dynamics

Explore symmetries in dynamical systems and progress on Smale's conjecture about generic smooth systems having only trivial symmetries. Delve into complex analytic, Hamiltonian, and smooth dynamics.

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

Ross Dynamics Lab

Hamiltonian Systems Introduction - Why Study Them?

Explore Hamiltonian systems and their advantages in mechanics. Learn about generalized momentum, canonical equations, and the transformation from Lagrangian to Hamiltonian formalism.

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

Ross Dynamics Lab

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

Explore stability of periodic orbits using Floquet theory. Learn about monodromy matrices, Floquet multipliers, and invariant manifolds in Hamiltonian systems. Understand the foundations of chaos in dynamical systems.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Simons Institute

A Theory of Trotter Error

Explores advanced theory of Trotter error in quantum simulation, providing tighter error bounds and improved algorithms for various quantum systems and observables.

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

Instituto de Matemática Pura e Aplicada

Conservative Dynamics and Symplectic Geometry Workshop 2023

Explore advanced topics in conservative dynamics and symplectic geometry through expert lectures covering Hamiltonian dynamics, contact geometry, integrable systems, and Aubry-Mather theory.

• YouTube
• 15 hours 9 minutes
• On-Demand
• Free Video

IMSA

Gromov-Hausdorff Convergence of Filtered A Infinity Categories

Explore Floer homology's dependence on Hamiltonian isotopy, its multiplicative structure, and connections to homological Mirror symmetry in formal deformation theory.

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

Institute for Pure & Applied Mathematics (IPAM)

Introduction to Modelling Gravitational Waves from Compact Binaries

Explore gravitational wave modeling techniques for compact binary systems, covering inspiral, merger, and ringdown phases. Learn about semi-analytic models crucial for detection and analysis.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Symmetry and Asymmetry in Dynamics

Explore symmetry and asymmetry in dynamics, examining dynamical symmetry groups, Hamiltonian dynamics, and rigidity theorems. Gain insights into mathematical concepts and their applications.

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

Institute for Advanced Study

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

Explore Hamiltonian Floer complexes on surfaces, connecting dynamics to Floer chain structure. Discover a new symplectic norm and geometric interpretations of chain complexes using transverse foliations.

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

Simons Institute

Using Chaos to Characterize a Programmable Analog Quantum Simulator

Explore chaos in analog quantum simulators, uncovering random behavior, estimating fidelity, and learning noise models for large-scale entangled states using Rydberg atom arrays.

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

PCS Institute for Basic Science

A New Interpretation of Laser Instabilities

Explore a novel mathematical approach to laser instabilities, uncovering their nearly Hamiltonian nature and the challenges in adiabatic elimination of atomic polarization.

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

Centrum Fizyki Teoretycznej PAN

Maximally Entangled Mixed States: Do They Exist?

Explore the existence of maximally entangled mixed states in quantum information theory, examining their potential and implications for practical applications.

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

Centrum Fizyki Teoretycznej PAN

The Entropic Dynamics Approach to Quantum Mechanics

Explore the Entropic Dynamics framework for reconstructing Quantum Mechanics, focusing on ontic and epistemic variables, probability distributions, and the derivation of key quantum principles.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video