Info High Dimensional Convex Geometry

Vorlesungszeiten: Donnerstag, 10-12, MA544

Vorlesungsbeginn: Donnerstag, 18.10.2017

Inhalt: Covering numbers, Dvoretzky’s theorem, reverse Brunn-Minkowski theorem,  L_p/dual-Brunn-Minkowski theory, volume distribution in convex bodies

Literatur: (vorläufig)

Shiri Artstein-Avidan, Apostolos Giannopoulos and Vitali Milman, Asymptotic Geometric Analysis, Part I, AMS 2015.
Guillaume Auburn and Stanislaw J. Szarek, Alice and Bob meet Banach, AMS 2017.
Silouanos Brazitikos, Apostolos Giannopoulos, Petros Valettas  and Beatrice-Helen Vritsiou, Geometry of isotropic convex bodies, AMS  2014.
Richard Gardner, Geometric Tomography, Cambridge 2006.
Alexander Koldobsky, Fourier analysis in convex geometry, AMS 2005.
Rolf Schneider, Convex bodies: The Brunn-Minkowsi theory, Cambridge 2014.

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