Mean Curvature Courses and Certifications

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

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

International Centre for Theoretical Sciences

Interpolation by Zero Mean Curvature and Constant Mean Curvature Surfaces and Related Topics

Explore interpolation techniques using zero and constant mean curvature surfaces in differential geometry and minimal surface theory applications.

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

ICTP Mathematics

Basic Notions Seminar on Mean Curvature Flow of Closed Hypersurfaces

Explore mean curvature flow of closed hypersurfaces, from basic definitions to advanced topics, including variational aspects and key theorems like Grayson's and Huisken's.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics, Symmetry and Asymmetry of Ancient Solutions to Mean Curvature Flow - ODE Techniques in Curvature Flows

Explore ODE techniques in curvature flows, focusing on dynamics, symmetry, and asymmetry of ancient solutions to mean curvature flow. Gain insights from expert Sigurd Angenent.

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

Society for Industrial and Applied Mathematics

The Thresholding Scheme for Mean Curvature Flow and De Giorgi's Ideas for Gradient Flows

Explores the thresholding scheme for mean curvature flow in multi-phase systems, its applications in grain growth, and convergence proofs based on De Giorgi's gradient flow ideas.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institute for Advanced Study

On the Gradient-Flow Structure of Multiphase Mean Curvature Flow - Tim Laux

Explore the gradient-flow structure of multiphase mean curvature flow, covering theoretical aspects, previous work, and key concepts in this advanced mathematical analysis seminar.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

ICTP Mathematics

Curves and Surfaces with Constant Nonlocal Mean Curvature

Explore constant nonlocal mean curvature in curves and surfaces, examining advanced mathematical concepts and their applications in geometry and physics.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics and Symmetry of Ancient Convex Mean Curvature Flows - Lecture 5

Explore dynamics and symmetry of ancient convex mean curvature flows in this advanced mathematics lecture by Sigurd Angenent from the University of Wisconsin-Madison.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics, Symmetry and Asymmetry of Ancient Solutions to Mean Curvature Flow - Ancient Convex Solutions to MCF

Explore ancient convex solutions to Mean Curvature Flow, examining dynamics, symmetry, and asymmetry in this advanced mathematics lecture by Sigurd Angenent.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 4

Explore advanced mathematical concepts in phase-field models and their application to motion by mean curvature, presented by a renowned expert from the University of Chicago.

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

ICTP Mathematics

The Thresholding Scheme for Mean Curvature Flow as Minimizing Movement Scheme

Explore the thresholding scheme for mean curvature flow, examining its role as a minimizing movement scheme in this advanced mathematics lecture by Felix Otto from the Max Planck Institute.

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

ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 2

Explore singularities in mean curvature flow of convex hypersurfaces, focusing on advanced mathematical concepts and their implications in geometric analysis.

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

ICTP Mathematics

Monotonicity Formulae and Non-Collapsing Estimates for Mean Curvature Flow with Applications - Lecture 2

Explore monotonicity formulae and non-collapsing estimates in mean curvature flow, with insights on their applications and implications for geometric analysis.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces

Explore mean curvature flow singularities in mean convex hypersurfaces. Learn about extrinsic curvature flows and their applications in geometry and topology.

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