Discrete Geometry (Kombinatorische Geometrie I)

TU Berlin/BMS, Sommersemester 2008

News

The final exam takes place on Fri, 1 Aug from 10:00 to 12:00 in room MA 841.
Für Bachelor-Studenten: Grünes Licht vom Prüfungsamt! Anmeldung für die Prüfung erfolgt durch Eintragung in die Liste vor der Klausur.

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

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

Günter M. Ziegler, Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer 1995/2001/2007
Branko Grünbaum, Convex Polytopes, Graduate Texts in Mathematics 221, Springer 2003 (original edition: Interscience 1967)
Jiri Matousek, Lectures on Discrete Deometry, Graduate Texts in Mathematics 212, Springer 2002