Discrete Geometry (Kombinatorische Geometrie I)

TU Berlin/BMS, Sommersemester 2008

News


Schedule

Classes Mon 08:15 - 09:45
MA 841
Prof. Günter M. Ziegler
10:15 - 11:45
Tutorial Session Fri 08:15 - 09:45
MA 549
Axel Werner


Contents

The first, larger part of this course will give a quick but hands-on introduction to the theory of convex polytopes and their combinatorial properties. It will start with an extensive discussion and analysis of examples. On this basis we develop the fundamental combinatorial facts. Then we concentrate on 3-dimensional polytopes (rather well-understood) and on 4-dimensional polytopes (active field of research). A survey of f-vector theory will lead us to discuss "extremal" polytopes.
The later part of the course will also cover aspects of discrete geometry that go beyond the topic of convex polytopes: duality theory, arrangements and configurations, tilings, complexity bounds, as well as high-dimensional aspects.
For a more detailed overview see announcement.


Contact

Office hour Room Phone e-mail
Lecturer Prof. Günter M. Ziegler MA 628 314-25730
Assistant Axel Werner Thu, 9-11 MA 619 314-25181
Secretary Elke Pose MA 627 314-23354


Exercises

Exercise sheet Deadline
no. 1 Mon, 28 Apr 2008
no. 2 Mon, 5 May 2008
no. 3 Tue, 13 May 2008
no. 4 Mon, 19 May 2008
no. 5 Mon, 26 May 2008
no. 6 Mon, 2 Jun 2008
no. 7 Mon, 9 Jun 2008
no. 8 Mon, 16 Jun 2008
no. 9 Mon, 23 Jun 2008
no. 10 Mon, 30 Jun 2008
no. 11 Mon, 7 Jul 2008
no. 12 Mon, 14 Jul 2008


Literature


Software