Conference GSI Courses

Madelung Transform and Variational Asymptotics in Born-Oppenheimer Molecular Dynamics

Explore variational asymptotics and Madelung transform in Born-Oppenheimer molecular dynamics, enhancing understanding of quantum chemistry principles.

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

Conservation Laws as Part of Lagrangian Reduction - Application to Image Evolution

Explore conservation laws in Lagrangian reduction and their application to image evolution, enhancing understanding of mathematical principles in visual processing.

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

Hamiltonian Variational Formulation for Non-Simple Thermodynamic Systems

Explore Hamiltonian variational formulation for complex thermodynamic systems, gaining insights into advanced mathematical approaches in physics and engineering.

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

A Dually Flat Geometry for Spacetime in 5D

Explore a novel geometric approach to spacetime in five dimensions, examining dually flat structures and their implications for physics and cosmology.

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

Infinite Dimensional Lagrange-Dirac Mechanics with Boundary Conditions

Explore infinite dimensional Lagrange–Dirac mechanics, focusing on boundary conditions in this advanced mathematical analysis.

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

Perturbation of Fiedler Vector: Interest for Graph Measures and Shape Analysis

Explore Fiedler vector perturbation and its applications in graph measures and shape analysis, gaining insights into advanced mathematical concepts.

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

Diffeomorphic ICP Registration for Single and Multiple Point Sets

Explore diffeomorphic ICP registration techniques for point sets, enhancing understanding of advanced geometric data alignment methods.

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

Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods

Explore advanced numerical methods for simulating Hamiltonian systems using Mono Implicit Runge-Kutta techniques, enhancing accuracy and efficiency in scientific computations.

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

SE3 Equivariant Hemodynamic Field Estimation in 3D Artery Models via Graph Neural Networks

Estimate hemodynamic fields in 3D artery models using SE3 equivariant graph neural networks, enhancing accuracy and efficiency in cardiovascular research.

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

Learning with Symmetric Positive Definite Matrices via Generalized Bures-Wasserstein Geometry

Explore advanced mathematical concepts in symmetric positive definite matrices and their applications using generalized Bures Wasserstein geometry.

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

Determinantal Expressions of Certain Integrals on Symmetric Spaces

Explore determinantal expressions for integrals on symmetric spaces, uncovering mathematical insights and applications in this advanced mathematical analysis.

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

Fisher Rao Riemannian Geometry of Equivalent Gaussian Measures on Hilbert Space

Explore Fisher Rao Riemannian geometry of equivalent Gaussian measures in Hilbert space, delving into advanced mathematical concepts and their applications.

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

Lagrangian Trajectories and Closure Models in Quantum Classical Dynamics

Explore Lagrangian trajectories and closure models in quantum classical dynamics, gaining insights into advanced theoretical physics concepts.

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

Variational Geometric Description for Fluids with Permeable Boundaries

Explore variational geometric methods for modeling fluid dynamics with permeable boundaries, enhancing understanding of complex fluid systems and their interactions.

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

Casimir Dissipation Stabilized Stochastic Rotating Shallow Water Equations on the Sphere

Explore stochastic rotating shallow water equations on the sphere, focusing on Casimir dissipation stabilization techniques and their applications in geophysical fluid dynamics.

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