Mean Curvature Flow Courses and Certifications

Centre de recherches mathématiques - CRM

An Excursion into Mean Curvature Flow

Explore mean curvature flow's regularity theory, focusing on distinctions between one-dimensional and higher-dimensional flows in this geometric analysis lecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Introduction to Brakke's Mean Curvature Flow - Part 3

Dive into advanced geometric analysis with Brakke's mean curvature flow theory, exploring free boundary problems through rigorous mathematical frameworks and analytical techniques.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Introduction to Brakke's Mean Curvature Flow - Part 2

Dive into advanced geometric analysis through Brakke's mean curvature flow theory, exploring mathematical techniques for understanding evolving surfaces and free boundary problems.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Introduction to Brakke's Mean Curvature Flow - Part 5

Delve into advanced geometric analysis through Brakke's mean curvature flow theory, exploring free boundary problems and their mathematical foundations in this specialized lecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Introduction to Brakke's Mean Curvature Flow - Part 4

Dive into advanced geometric analysis with Brakke's mean curvature flow theory, exploring free boundary problems and their mathematical foundations in this specialized lecture.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

Stony Brook Mathematics

Recent Progress in Mean Curvature Flow

Delve into advanced mathematical concepts of mean curvature flow, exploring recent breakthroughs in singularity formation and the resolution of the Multiplicity One Conjecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Equivalence of Weak Solution Concepts for Mean Curvature Flow

Explore the equivalence between viscosity and variational weak solution concepts for mean curvature flow, revealing how geometric and variational approaches converge in this fundamental evolution equation.

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

International Centre for Theoretical Sciences

Introduction to Lagrangian Mean Curvature Flow - Examples

Explore Lagrangian mean curvature flow through concrete examples and applications in differential geometry and mathematical analysis.

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

ICTP Mathematics

Extrinsic Curvature Flows - Analysis and Geometry at the Interface

Explore advanced mathematical techniques in extrinsic curvature flows, covering mean curvature flow, singularities, Brakke flow theory, and applications to geometry and physics.

• YouTube
• 1 day 18 hours 51 minutes
• On-Demand
• 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
• On-Demand
• Free Video

University of Chicago Department of Mathematics

How Curved are Level Sets of Solutions to Elliptic PDE? - Lecture 1

Delve into the geometry of level sets in semilinear elliptic equations, exploring Jacobi functions and Levi-Civita's affine connection with applications to harmonic functions.

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

University of Chicago Department of Mathematics

How Curved are Level Sets of Solutions to Elliptic PDE? - Part 2

Delve into the geometry of level sets in semilinear elliptic equations, exploring Jacobi functions and Levi-Civita's affine connection as tools for understanding curvature in solutions to elliptic PDE.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

University of Chicago Department of Mathematics

How Curved are Level Sets of Solutions to Elliptic PDE? - Part 2

Explore the geometry of level sets in semilinear elliptic equations with David Jerison, examining Jacobi functions and Levi-Civita affine connections inspired by Hamilton and Perelman's work on curvature flows.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

University of Chicago Department of Mathematics

How Curved are Level Sets of Solutions to Elliptic PDE? - Part 2

Explore the geometry of level sets in semilinear elliptic equations with David Jerison, examining Jacobi functions and Levi-Civita affine connections inspired by Hamilton and Perelman's work on curvature flows.

• YouTube
• 1 hour 3 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