Introduction to the Ricci Flow, Summer Semester 2022This course is an introduction to the beautiful and useful topic of the Ricci Flow. This page will contain all the information related to the course.
Moodle (key: hamilton) Please join Moodle as all the communications regarding the course will be done through it.
Lectures: Mondays 9:15-10:45, Tuesdays 11:15-12:45 in Johann von Neumann-Haus - 1.012.
Tutorials: Mondays 11:15-12:45 in Johann von Neumann-Haus - 1.012.
For some topics (but not all), I'll upload hand-written lecture notes.
Lec. 2, 3 & 4 - Basic Riemannian Geometry
Lec - Basics of the Ricci Flow
Lec - Failure of parabolicity of the Ricci Flow
Lec - DeTurck's trick and short-time existence and uniqueness for the Ricci Flow
Lec - Scalar maximum principles
Lec - Tensor maximum principles
Lec - Ricci pinching estimates
Lec - Applications of pinching and gradient estimates
Problem sets will normally be posted here every Tuesday/Wednesday 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 02.05.2022)
Problem Set 2 (due on 09.05.2022) Sol. to Q.3
Problem Set 3 (due on 16.05.2022) Solutions (Thanks to Johannes Hübers for writing partial solutions in Latex.)
Problem Set 4 (due on 23.05.2022) Solutions
Problem Set 5 (due on 30.05.2022) Solutions
Problem Set 6 (due on 27.06.2022)
Problem Set 7 (due on 04.07.2022)