Differential Geometry Courses and Certifications

Insights into Mathematics

Differential Geometry - Math History - NJ Wildberger

Explore the foundations of differential geometry, from planar curves to Gaussian curvature, and its impact on modern physics. Learn about key concepts and historical contributions in this mathematical field.

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

International Mathematical Union

Oscar Randal-Williams: Diffeomorphisms of Discs

Explore the mathematical intricacies of diffeomorphisms on discs with Oscar Randal-Williams in this insightful 45-minute lecture from the International Mathematical Union.

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

Hausdorff Center for Mathematics

Stéphane Druel: Codimension 1 Foliations with Projectively Flat Tangent Bundle

Explore complex projective manifolds and codimension 1 foliations, focusing on numerically projectively flat tangent bundles and new findings on normal bundles of regular foliations.

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

International Centre for Theoretical Sciences

Zero Mean Curvature Surfaces in Euclidean and Lorentz-Minkowski 3-Space - Lecture 1

Explore zero mean curvature surfaces in Euclidean and Lorentz-Minkowski spaces, covering fundamental concepts, variations, stability, and examples of minimal surfaces with diverse properties and geometries.

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

Institute for Pure & Applied Mathematics (IPAM)

The Log-Minkowski Problem - IPAM at UCLA

Explore the log-Minkowski problem and recent progress in convex geometry, including uniqueness of self-similar solutions and isomorphic resolution, with applications to centro-affine differential geometry.

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

ICTP Mathematics

Finding Solitons in Differential Geometry

Explore solitons in differential geometry, their role in discovering distinguished geometric structures, and applications in various mathematical contexts including Lie groups and algebras.

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

ICTP Mathematics

Motion by Curvature of Networks in the Plane - Lecture 4

Explore motion by curvature of planar networks, covering collapse, parametrization, evolution equations, special cases, singularities, and localization. Gain insights into this advanced mathematical topic.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 5

Explore singularities in mean curvature flow of convex hypersurfaces, covering max inequality, weak solutions, surgeries, and Type 2 singularities with intuitive explanations.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Mathemaniac

Why All Maps Are Wrong - Theorema Egregium

Explore Theorema Egregium's geometric proof, revealing why no world map can preserve both area and angles. Understand curvature, spherical areas, and the Gauss map in this mathematical journey.

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

Hausdorff Center for Mathematics

Intrinsic Volumes on Pseudo-Riemannian Manifolds

Explore intrinsic volumes in pseudo-Riemannian geometry, covering Hadwiger's theorem, Weyl's principle, and Crofton formulas. Learn about recent developments in this advanced mathematical field.

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

Open Data Science

Physics-Inspired Learning on Graph - Michael Bronstein, PhD

Explore physics-inspired continuous learning models for graphs, challenging traditional message-passing paradigms. Discover new approaches using differential geometry, algebraic topology, and differential equations to revolutionize graph machine learning.

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

Insights into Mathematics

Gauss's View of Curvature and the Theorema Egregium - Differential Geometry Lecture 35

Explores Gauss's curvature concept, Theorema Egregium, and discrete curvature in polyhedra. Covers Gauss-Rodrigues map, paraboloids, and the Gauss-Bonnet theorem for a comprehensive look at differential geometry.

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

Insights into Mathematics

Gauss, Normals and Fundamental Forms in Differential Geometry - Lecture 34

Explore Gauss's approach to differential geometry, including parametric surface descriptions, fundamental forms, and the Gauss-Rodrigues map. Learn about Gaussian curvature and its applications in surface analysis.

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

Insights into Mathematics

Differential Geometry: Meusnier, Monge, and Dupin's Work on Surfaces - Lecture 33

Explore Dupin's discoveries in differential geometry, including triply orthogonal surfaces, lines of curvature, and the Dupin indicatrix, with applications to ellipsoids and confocal systems.

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

Insights into Mathematics

Meusnier, Monge and Dupin - Differential Geometry - Lecture 32

Explore Monge's contributions to differential geometry, including descriptive geometry, theorems, and studies on curves, surfaces, and lines of curvature in this advanced mathematics lecture.

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