Sub-Riemannian Geometry Courses and Certifications

BIMSA

Noncommutative Geometry and Semiclassical Analysis - Applications in Contact and Sub-Riemannian Geometry

Explore bridges between semiclassical analysis and noncommutative geometry, with applications to contact and sub-Riemannian geometry including Weyl's laws.

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

Centre International de Rencontres Mathématiques

Sub-Riemannian Geometry of Osculating Curves - From Tangent Lines to Algebraic Curves

Delve into nonholonomic constraints and sub-Riemannian structures through geometric models of osculating curves, exploring tangent lines, conics, and cubics in plane curve movements.

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

Institute for Pure & Applied Mathematics (IPAM)

Sub-Riemannian Geometry of Optimal Transport: Mostly Classical and a Bit of Quantum

Delve into the sub-Riemannian geometry of Monge-Kantorovich transport, exploring controllability issues, structure groups, and related quantum theory concepts in this mathematical presentation.

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

Utrecht Geometry Centre

Geometry, Mechanics, and Control - Young Researchers Workshop

Explore advanced topics in differential geometry, optimal control theory, and mathematical physics through expert lectures on Pontryagin principles, contact manifolds, and Hamiltonian systems.

• YouTube
• 9 hours 47 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Symplectic Dynamics and Geometry Seminar

Explore advanced topics in symplectic geometry through expert lectures on Jordan loops, sub-Riemannian geometry, contact topology, and Floer cohomology from leading researchers.

• YouTube
• 11 hours 17 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Geometries

Explore unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian geometries through gauge metric measure spaces. Discover recent advances in metric measure and sub-Riemannian spaces.

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

Centre de recherches mathématiques - CRM

A Panorama of Singular Sub-Laplacians and Their Spectra

Explore exotic properties of Laplace-Beltrami operators on rank-varying sub-Riemannian structures. Delve into self-adjointness, spectral properties, and sub-Riemannian Weyl laws. Discover open questions in this fascinating field.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Extended LDDMM and Applications to Multi-scale Matching Problems

Delve into advanced shape analysis through LDDMM framework, exploring sub-Riemannian metrics, half-Lie groups, and multi-scale registration for computational anatomy and shape variations.

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

Hausdorff Center for Mathematics

Large Deviations Principle for Sub-Riemannian Random Walks

Explore large deviations in sub-Riemannian random walks on Carnot groups, focusing on rate functions, hypoelliptic Brownian motions, and comparisons between standard and Heisenberg group Brownian motions.

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

Conference GSI

A Sub-Riemannian Model of the Functional Architecture of M1 for Arm Movement Direction

Explore a sub-Riemannian model of M1's functional architecture for arm movement direction, gaining insights into neural mechanisms and motor control.

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

Conference GSI

A Neurogeometric Stereo Model for Individuation of 3D Perceptual Units

Explore a neurogeometric model for stereo vision and 3D perceptual unit individuation, focusing on sub-Riemannian structures and horizontal curves.

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

Centre International de Rencontres Mathématiques

Mean Convex Mean Curvature Flow in the Heisenberg Group

Delve into mean curvature flow adaptation in Heisenberg groups, exploring solutions, uniqueness theorems, and connections to isoperimetric problems through advanced mathematical analysis.

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

Centre International de Rencontres Mathématiques

Score Matching for Simulating Sub-Riemannian Diffusion Bridge Processes

Delve into advanced mathematical concepts of score matching and simulation techniques for sub-Riemannian diffusion bridge processes, focusing on geometric statistics and machine learning applications.

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

Centre International de Rencontres Mathématiques

Stokes' Theorem in Heisenberg Groups

Delve into advanced mathematical concepts of Stokes' theorem in Heisenberg groups, exploring submanifolds with boundary and integration of Heisenberg differential forms in sub-Riemannian geometry.

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

Centre International de Rencontres Mathématiques

From Gas Giant Planets to the Spectral Theory of Subelliptic Laplacians

Explore the mathematical analysis of sound wave propagation in gas giant planets, focusing on spectral theory, Riemannian geometry, and sub-Riemannian Laplacians in this advanced physics lecture.

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