In this seminar, differential geometric topics will be independently developed based on current research and presented in the form of a talk. Particular emphasis is placed on the concrete implementation of differential geometric concepts in application scenarios and the questions of discretization and implementation. Learning objectives are a deeper understanding of differential geometry ...
The lecture will introduce selected concepts from differential geometry and their role in solving current application problems. The topics include curvature measures, geometric flows, minimal surfaces, harmonic mapping, parallel transport, branched coverings, as well as their discretization and implementation. Practical problems come for example from the fields of geometric design, geometry ...