Ausgewählte Kapitel der Mathematik (M40): Topics in geometric analysis: extrinsic geometric flows

Geometric flows are important tools in studying various geometric structures on a manifold. This course intends to be an introduction to the study of extrinsic geometric flows, i.e., to study the evolution of objects which lie in an ambient manifold, and to study many of its properties and applications.
Important examples of such flows and the ones we plan to cover in the course are the Curve shortening flow and the Mean curvature flow. The target audience is advanced Bachelors and Masters’s students and PhD students so only basic knowledge of Riemannian geometry and analysis (especially PDEs) will be very beneficial.