A gentle and coordinate free introduction to the Ricci flow
The purpose of this seminar is to give an introduction to the Ricci Flow aiming to prove Hamilton's remarkable result: Let M be a closed 3-manifold equipped with a Riemannian metric of positive Ricci curvature. Then there exists a metric of constant positive sectional curvature on M.
Schedule
The seminar will be held on Thursdays from 12:00 to 14:00.
- A first look at the Ricci Flow and its properties
(27.04.2023 - Panagiotis Konstantis)
- Evolution of geometric quantities
(11.05.2023 - Henrik Naujoks)
- Maximum principle
(25.05.2023 - Oliver Goertsches)
- Parabolic PDEs and existence theory for the Ricci flow
(01.06.2023 - Max Jahnke)
- The DeTurck trick
(15.06.2023 - Nikolas Wardenski)
- Compactness of the Ricci flow and blow ups
(22.06.2023 - Benjamin Becker)
- The W-Functional and the no local volume collaps theorem
(29.06.2023 - n/a)
- The Uhlenbeck trick and a ODE-PDE theorem
(06.07.2023 - Nicolina Istrati)
- Hamilton's theorem
(13.07.2023 - n/a)
A more detailed description of the talks can be found
here