Infos Diskrete Geometrie II

Vorlesungszeiten: Dienstag, 12-14, MA041 & Mittwoch, 12-14, MA043

Übung&Tutorium: Do&Fr,10-12, MA 650&649

Vorlesungsbeginn: Dienstag, 18.04.2017, 12-14, MA041
Übungsbeginn: Donnerstag, 27.04.2017, 10-12, MA650

Inhalt: Kombinatorik und Geometrie konvexer Polytope, Komplexe, Arrangements und Konfigurationen, Komplexitäts- und Extremalfragen, Gitterpolytope und Ehrharttheorie. — bei Wunsch/Bedarf gerne auch in Englisch.

Literatur: (vorläufig)

Alexander Barvinok, Integer points in Polyhedra, 2009.
Matthias Beck and Sinai Robins, Computing the continuous discretely, 2015.
Peter Manfred Gruber, Convex and Discrete Geometry, 2007.
Michael Joswig and Thorsten Theobald, Algorithmische Geometrie, 2007.
Jirka Matousek, Lectures on Discrete Geometry, 2002.
Günter M. Ziegler, Lectures on Polytopes, 1995.

Bei Fragen, bitte e-mail an mich.

some info

Convex Geometry II

Lectures:  Time/place: Monday, 12-14, MA648 & Thursday, 12-14, MA642
                  Start: Thursday, April 20th, 12-14, MA 642

Exercise classes: Time/place:Thursday 14-16, MA751 
                               Start:Thursday, April 27th, 14-16, MA751  

List of topics: symmetrizations, positions (John, isotropic, M-, …) of convex bodies,
Brascamp-Lieb/Barthe inequality, (reverse) Brunn-Minkowski inequality,
l_p-(Brunn)-Minkowski problem,  concentration of measure, covering numbers, Dvoretzky’s theorem.

Literature (preliminary):
Shiri Artstein-Avidan, Apostolos Giannopoulos, Vitali D. Milman,
Asymptotic Geometric Analysis, AMS.
Silouanos Brazitikos, Apostolos Giannopoulos, Petros Valettas and Beatrice-Helen Vritsiou,   Geometry of Isotropic Convex Bodies, AMS.
Richard Gardner, Geometric Tomography, Cambridge University Press.
Peter Gruber, Convex and Discrete Geometry, Springer.
Rolf Schneider, Convex Bodies: The Brunn–Minkowski Theory, Cambridge University Press.

  If you have any questions, please email henkatmath.tu-berlin.de