Here is the new sheet of exercises exercises_congeo_II  (Discussion Nov, 19th) and here are Chapters 1&2 with proofs and — of course — mistakes notes_convexgeo_II

…..is here exercises

Here are the first two chapters — preliminary draft notes_congeo_II

Here are the first exercises.

Convex Geometry II

Lectures:  Time/place: Wednesday, 14-16, MA744 & Friday, 12-14, MA750
                  Start: 14.10.2015

Exercise classes: Time/place: Thursday, 10-12, MA651
                               Start: 22.10.2105

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