YoVDO

Entropy in Mean Curvature Flow

Offered By: International Mathematical Union via YouTube

Tags

Geometric Analysis Courses Entropy Courses Hypersurfaces Courses Mean Curvature Flow Courses

Course Description

Overview

Explore the concept of entropy in mean curvature flow through this 43-minute lecture by Lu Wang, presented at the International Mathematical Union. Delve into the definition of entropy for hypersurfaces, understanding its role as a measure of geometric complexity and its invariance under rigid motions and dilations. Survey recent progress on conjectures by Colding, Ilmanen, Minicozzi, and White regarding the sharp lower bound on entropy for hypersurfaces. Examine extensions of these conjectures and gain insights into the study of mean curvature flow. Access accompanying presentation slides for visual support and deeper comprehension of this advanced mathematical topic.

Syllabus

Lu Wang: Entropy in mean curvature flow


Taught by

International Mathematical Union

Related Courses

Topological Properties of Hypersurfaces with Low Entropy - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Phase-Field Models for Motion by Mean Curvature - Lecture 2
ICTP Mathematics via YouTube
Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 5
ICTP Mathematics via YouTube
Basic Notions Seminar on Mean Curvature Flow of Closed Hypersurfaces
ICTP Mathematics via YouTube
Existence and Regularity Theories of Brakke Flow - Lecture 4
ICTP Mathematics via YouTube