Dear all, You all are cordially invited. Location: Technische Universität Berlin Straße des 17. Juni 136 10623 Berlin Time: Monday, June 20 - 14:15 Lecture: Karoly Böröczky (Rényi Institute, Budapest) Title: Facets of the Brascamp-Lieb Inequality and its Reverse form Abstract:The Brascamp-Lieb inequality, a generalization of Holder's inequality, is introduced, together with its reverse form generalizing the Prekopa-Leindler due to Barthe. Under certain conditions, the optimal factor in either of inequalities can be obtained using Gaussian test functions. These conditions give rise to the so-called Brascamp Lieb polytope. Algorithmic aspects of approximating the optimal factor are also discussed. Coffee & Tea Break : Room MA 316 - Third Floor Time: Monday, June 20 - 16:00 s.t. Colloquium: Christian Kipp (Technische Universität Berlin) Title: Affine Subspace Concentration Conditions for Polytopes Abstract:Given an n-dimensional polytope P and one of its facets F, the cone volume corresponding to F is the volume of conv(0,F). P is said to satisfy the subspace concentration condition w.r.t. a d-dimensional linear subspace L if the total cone volume of the facets with normal vectors in L is at most d/n*vol(P). The subspace concentration condition plays an important role in the context of the (discrete) logarithmic Minkowski problem, i.e., the question: What conditions ensure that a given list of normal vectors and cone volumes can be realized by a polytope? Recently, an affine version of the subspace concentration condition was introduced by Wu for certain lattice polytopes. In this talk, I will focus on the affine case and discuss possible generalizations. This is joint work with Ansgar Freyer and Martin Henk. |