YoVDO

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 5

Offered By: ICTP Mathematics via YouTube

Tags

Differential Geometry Courses Hypersurfaces Courses Mean Curvature Flow Courses

Course Description

Overview

Explore the intricacies of mean curvature flow in this lecture by Carlo Sinestrari from the University of Rome Tor Vergata. Delve into the singularities that arise in mean convex hypersurfaces as part of the International School on Extrinsic Curvature Flows. Begin with an introduction to the topic, followed by an examination of the max inequality and its motivation. Investigate weak solutions and their implications before moving on to the concept of flow with surgeries. Focus on the mean curvature flow and its characteristics, paying particular attention to Type 2 singularities. Conclude with intuitive ideas that help solidify understanding of these complex mathematical concepts. This comprehensive presentation offers valuable insights for mathematicians and researchers interested in geometric analysis and differential geometry.

Syllabus

Introduction
Max inequality
Motivation
Weak solutions
Flow with surgeries
Mean curvature flow
Type 2 singularities
Intuitive ideas


Taught by

ICTP Mathematics

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
Entropy in Mean Curvature Flow
International Mathematical Union 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