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Extrinsic geometric flows, Summer Semester 2023

This course is an introduction to the beautiful and useful topic of Curve Shortening Flow (CSF) and the Mean Curvature Flow (MCF). This page will contain all the information related to the course.

Course Outline


Moodle (key: hamilton) Please join Moodle as all the communications regarding the course will be done through it.


Lectures: Wednesdays 9:15-10:45, Thursdays 11:15-12:45 in Johann von Neumann-Haus - Seminarraum 20 2.006 (Rud. 25).

Tutorials: Wednesdays 11:15-12:45 in Johann von Neumann-Haus - Seminarraum 30 4.007 (Rud. 25) (Note the different classroom).

Announcements
  • 18.04.2023: The Problem Sessions will start from Wednesday, April 25th 2023.


Lecture Notes

For some topics (but not all), I'll upload hand-written lecture notes.

Basic Riemannian Geometry

Harnack inequality

Basic theory of curves



Problem sets

Problem sets will normally be posted here every Wednesday/Thursday and discussed in the problem session the following week. They will not be collected or graded but it is highly recommended that you try to attempt all the problems. This will be beneficial to your understanding of the course material.

Problem Set 1 (due on 03.05.2023)

Problem Set. 2 (due on 10.05.2023)

Problem Set 3 (due on 17.05.2023)

Problem Set 4 (due on 24.05.2023)

Problem Set 5 (due on 14.06.2023)

Problem Set 6 (due on 05.07.2023)

Problem Set 7 (due on 12.07.2023)