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DESCRIPTION: Given an n-dimensional polytope P and one of its facets F\, th
e 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 import
ant role in the context of the (discrete) logarithmic Minkowski problem\, i
.e.\, the question: What conditions ensure that a given list of normal vect
ors and cone volumes can be realized by a polytope? Recently\, an affine ve
rsion of the subspace concentration condition was introduced by Wu for cert
ain lattice polytopes. In this talk\, I will focus on the affine case and d
iscuss possible generalizations. This is joint work with Ansgar Freyer and
Martin Henk.
DTSTAMP:20220609T184600
DTSTART:20220620T160000
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Christian Kipp (Technische Universität Berlin): Affine Subspace Con
centration Conditions for Polytopes
UID:107920473@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20220620-C-Kipp.html
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