After successful completion of the course, students are able to address questions in convex geometry in independent research. In particular, this creates prerequisites for the later writing of a master's thesis.

Convex cones play a central role in various areas of mathematics, ranging from optimization to algebraic geometry. The seminar is dedicated to the geometric properties of convex cones in Euclidean space. It is based on the recent book Convex Cones: Geometry and Probability by Rolf Schneider. It covers (among others) the following topics

Suggested Topics from the book:

Introduction to independent literature research and presentation of mathematical facts. Feedback on oral presentation. Individual meetings with the supervisor.

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