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Congratulations to all who took the written exam. You did very well! For those Those of you who may repeat it, slots for oral exams are available in the first week of the summer term, on April 16:
Oral exams will last for about 30 minutes and are held by Prof. Ziegler and a co-examiner. Please email Elke Pose to register. Keep in mind that your registration is binding. That means if you register and don't show up, we will count it as a failed attemptwere not registered with Campus Management for DG I can now pick up their "Scheine" (course certificates) in Elke Pose's office at Arnimallee 2. |
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Course DescriptionThis is the first in a series of three courses on Discrete Geometry. We will get to know fascinating geometric structures such as configurations of points and lines, hyperplane arrangements, and in particular polytopes and polyhedra, and learn how to handle them using modern methods for computation and visualization and current analysis and proof techniques. A lot of this looks quite simple and concrete at first sight (and some of it is), but it also very quickly touches topics of current research. For students with an interest in discrete mathematics and geometry, this is the starting point to specialize in discrete geometry. The topics addressed in the course supplement and deepen the understanding of discrete-geometric structures appearing in differential geometry, optimization, combinatorics, topology, and algebraic geometry. To follow the course, a solid background in linear algebra is necessary. Some knowledge of combinatorics and geometry is helpful. We will cover a selection of the following topics: Basic structures in discrete geometry
Combinatorial geometry / Geometric combinatorics
Polytope theory
Examples, examples, examples
Geometry of linear programming
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