Mean Curvature Courses and Certifications

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Society for Industrial and Applied Mathematics

Directed Mean Curvature Flow in Noisy Environment

Explore directed mean curvature flow in noisy environments and its connection to the KPZ equation through advanced mathematical analysis and stochastic PDEs.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 3

Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Delve into advanced geometric concepts and their applications in this specialized lecture.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 2

Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Delve into advanced geometric concepts and their applications in this specialized lecture.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 1

Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Gain insights into this evolving field of mathematical research and its applications.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Constant Mean Curvature Embeddings and the Fateev Model IQFT

Explore constant mean curvature embeddings and the Fateev model in integrable quantum field theory, focusing on applications in condensed matter physics.

• YouTube
• 35 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

BIMSA

On the Enclosed Volume of Constant Mean Curvature Surfaces in the 3-Sphere and Euclidean 3-Space

Explore constant mean curvature surfaces in 3D spaces, computing area and enclosed volume using flat connection invariants. Joint work insights included.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

BIMSA

Recent Progress on Self-Expanders of Mean Curvature Flow and Applications

Explore recent advancements in self-expanders of mean curvature flow, their role in modeling singularities, and applications in geometric analysis.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

BIMSA

Generic Dynamics of the Mean Curvature Flows

Explore generic dynamics of mean curvature flows, including perturbation of shrinkers and isolatedness of cylindrical singularities in hypersurface evolution.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

BIMSA

Recent Progress on Minimal and Constant Mean Curvature Surfaces

Explore recent advancements in the existence theory of minimal and constant mean curvature surfaces, surveying cutting-edge developments in this mathematical field.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video