Mean Curvature Courses and Certifications

Insights into Mathematics

Curvature for the General Paraboloid - Differential Geometry - NJ Wildberger

Novel approach to surface curvature using projective geometry and linear algebra. Explores paraboloid curvature through characteristic polynomials, offering insights for higher-dimensional generalizations.

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

Institute for Advanced Study

Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete

Explore advanced geometric concepts in hyperbolic 3-manifolds, focusing on renormalized volume bounds, mean curvature, and variation formulas through rigorous mathematical analysis.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Physics of Biological Membranes

Explore the physics of biological membranes, covering lipid bilayers, surface energy, curvature, fluctuations, and non-equilibrium processes in this comprehensive lecture on membrane biophysics.

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

ICTP Mathematics

New Complex Analytic Methods in the Theory of Minimal Surfaces - Franc Forstnerič

Explore recent developments in minimal surface theory using complex analytic methods, covering global theory, Calabi-Yau problem, and complex Gauss map applications.

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

International Mathematical Union

Mean Curvature and Variational Theory

Explores recent developments in prescribing mean curvature equations, focusing on existence theory, min-max theory for CMC/PMC surfaces, and Morse theory for area functional. Includes solution to Multiplicity One Conjecture.

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

Insights into Mathematics

More General Surfaces in Differential Geometry - Lecture 22

Explores advanced surface types in differential geometry, including ruled and developable surfaces, minimal surfaces, algebraic surfaces, and projective constructions, with historical context and mathematical insights.

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

Institute for Pure & Applied Mathematics (IPAM)

S-embeddings and Discrete Maximal Lorentz Surfaces

Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.

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

Mathemaniac

The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures

Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.

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

International Centre for Theoretical Sciences

Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 3

Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Advanced mathematical concepts for researchers in geometry and topology.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 1

Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Expert-led lecture delves into advanced mathematical concepts, ideal for researchers in differential geometry.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Online Course