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Instructors: apl. Prof. Dr. Stephan Klaus
Event type:
Lecture
Displayed in timetable as:
Hours per week:
2
Credits:
3,0
Language of instruction:
German
Min. | Max. participants:
- | -
Contents:
Evolution equations on manifolds are connecting geometry, topology and analysis. The most simple case consists of tangent vector fields and their associated flows, generalizing the connection between Lie algebras and Lie groups. More interesting evolution equations are coming from geometry, in particular from Riemannian manifolds and their embeddings in other spaces. Examples are given by the mean curvature flow and the Ricci flow. In the past years, there were spectacular new results in these topics, in particular by the work of Perelman. In our lectures we give a survey on methods, results and application, concerning for example positive curvature, Thurston's geometrization conjecture, the Poincaré conjecture and space forms.
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