Discrete differential geometry and non-Euclidean geometries
In this course we will treat topics from Discrete Differential
Geometry such as discrete Laplace operators on simplicial surfaces
as well as non-Euclidean geometries such as Möbius geometry,
Laguerre geometry, Lie geometry, and applications.
This is a basic course of the Berlin Mathematical School (BMS) and will be held in English
The course consists of two parts:
- In the first part of the course we study discrete Laplace operators on simplicial surfaces.
This is a topic from discrete differential geometry, and has applications in geometry processing.
We introduce polyhedral surfaces, piecewise flat surfaces, Delaunay tessellations, the discrete cotan Laplace operator, and the discrete Laplace-Beltrami operator.
As one example we look at different types of simplicial minimal surfaces.
- In the second part of the course we study circle and sphere geometries such as Möbius, Laguerre, and Lie geometry.
These topics are closely related to applications in discrete differential geometry, and we look at incircular nets as one example.
- Trainer/in: Jan Techter