Polytopes, successive minima, and the logarithmic Minkowski problemAlgebra & Discrete Mathematics
|Speaker:||Martin Henk, U. Magdeburg, Germany|
|Start time:||Mon, Oct 27 2014, 1:10PM|
We discuss several extensions/variations of Minkowski's classical second theorem on successive minima. Among others, we present a (possible) "lattice point generalization" of this theorem which relates to Ehrhart theory of lattice polytopes and to the logarithmic Minkowski problem, a central problem in modern convex geometry. Most of the given results are part of joint works with Karoly J. Boroczky, Matthias Henze & Maria Hernandez Cifre, and Eva Linke.