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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

Beijing Jiaotong University

微分几何

了解曲线及曲面的弯曲，甚至时空的弯曲及精确计算，对于机械设计及计算机图形学专业尤为必要了解，同时通过此课程的学习，加深所学基础课，如微积分，线性代数的理解。

• XuetangX
• On-Demand
• Free Online Course

Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 22

Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.

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

Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 21

Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.

• YouTube
• 1 hour 56 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 20

Explore advanced concepts in differential geometry of curves and surfaces, including curvature, geodesics, and the Gauss-Bonnet theorem. Enhance understanding of intrinsic and extrinsic geometry.

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

Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 19

Aprofunde-se na geometria diferencial de curvas e superfícies, explorando conceitos como curvatura, torção e formas fundamentais. Domine técnicas avançadas para análise de estruturas geométricas tridimensionais.

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