Lecture Course :  250124 VU
Time: 15:15 - 17:00
Start: October 27, 2025
Further dates: October 29 and 31, 2025, November 3 and 5, 2025
End: November 5, 2025

Abstract: The mean curvature flow (MCF) is a family of surfaces evolving in time whose velocity is equal to the mean curvature at each point and time. It is one of the most important geometric evolution problems with many avenues of studies. The course will focus on the approach initiated by Brakke in the 1970's in the framework of geometric measure theory among other approaches. Starting with some preliminaries on the measure-theoretic aspects, the basic properties of MCF as well as some advanced topics such as the general existence theory will be covered.

Aim of the course:
The aim of the course is to familiarize the students with basic concepts in geometric measure theory first, and to present basic measure-theoretic properties of mean curvature flow in the setting of Brakke flow. The course is given as a series of lectures.
 

Lecture Course Announcement (pdf) - will be added

Link to the course directory