A “preliminary final” script has been uploaded … any comments, corrections etc. are very welcome.
Convex Geometry I
Infos about the course
Exercise sheet 9
There is a mistake in 9.1: it should read Prove the existence of a point x s.t. ….
i.e. without the restriction x in A.
Tuesday class canceled
The class next Tuesday, 13/12/2017, is canceled.
Chapter 2
Chapter 2 “A rough guide to polytopes” has been uploaded
with a “corrected version” of Theorem 2.11 ii) (statement adjusted) & iii) (proof adjusted)-
sorry for the mess.
Thursday class canceled
Because of the BMS 10th Anniversary (see https://www.math-berlin.de/academics/bms-10-anniversary — highly recommended) the class on Thursday morning is canceled — sorry!!
script and sheet of exercises
In the future, the links on the right hand side will point to the latest versions of the/a script and sheet of exercises.
Info & erster Übungszettel
The exercises classes beginn Fridays at 12:00 (sharp); the first one next Friday, i.e., 28.10, and
here is the first sheet with exercises uebung_convexgeometry_i_ws16.
Starting with next week, the lecture on Thursday will take place in MA 143.
Vorlesungs- und Übungsbeginn
Vorlesungsbeginn ist Dienstag, 18.10.2016, 14:15, in MA 750.
Übungsbeginn ist Freitag, 28.10.2016, 12:15, in MA 750.
- Inhalt:
Kombinatorische Konvexität (Helly- und Caratheodory-type theorems), Raum der konvexen Körper, Bewertungen, Volumen, Oberfläche, Gemischte Volumina, Aspekte der Brunn-Minkowski Theorie, Minkowski-Problem, Isoperimetrische Ungleichung(en), Extremalprobleme konvexer Körper - (vorläufige) Literatur:
Alexander Barvinok, A course in Convexity, AMS.
Yu.D. Burago, V.A. Zalgaller, Geometric Inequalities, Springer.
Richard Gardner, Geometric Tomography, Cambridge.
Peter M. Gruber, Convex and Discrete Geometry, Springer.
Jiri Matousek, Lectures on Discrete Geometry, Springer.
Rolf Schneider, Convex Bodies: The Brunn-Minkowski Theory, Cambridge.
Günter M. Ziegler, Lectures on Polytopes, Springer.
infos soon
if you have questions, please email