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The written exam will take place on Wednesday, February the 5th between 10 and 12 AM. We will give you more details about what to expect during the first week of school in January in the lecture room, Arnimallee 6 Room 007/008 and will last for 90 minutes. It will start at 10.15 AM and end at 11.45 AM. You will register for the exam simply by showing up on the 5th and giving us your name and student ID. Please arrive at 10 AM so you can register and be seated in time. You are allowed to take a small one-sided handwritten cheat sheet (about the size of German A5) with you to the exam. Except for pen and paper, all other materials as well as phones and laptops etc. are not allowed. Professor Ziegler will give some details about the nature of the exam during the lecture on January 21. If you decide not to take the exam or if you don't pass it (which hopefully won't happen) you may make an appointment after February 11 with Elke Pose for an oral exam with Professor Ziegler. Exam dates will probably be at or right before the beginning of the next term. A note for FU Bachelor's students: you may take both exams and choose the better grade as stated in the your Prüfungsordnung. This does not apply to Master's or BMS students. |
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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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