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SUMMARY:Büşra Sert (TU Dresden)
DTSTART:20210224T150000Z
DTEND:20210224T160000Z
DTSTAMP:20260422T172225Z
UID:UCGEN/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/28/">C
 ombinatorial Methods for Minkowski Tensors of Polytopes</a>\nby Büşra Se
 rt (TU Dresden) as part of UCGEN - Uluslararası Cebirsel GEometri Neşesi
 \n\n\nAbstract\nIntrinsic volumes of a convex body provide scalar data (vo
 lume\, surface area\, Euler characteristic etc. ) about the geometry of a 
 convex body intrinsically\, i.e.\, the data doesn't depend on the ambient 
 space. Minkowski tensors are the tensor valued generalization of intrinsic
  volumes. They give not only scalar data on the geometry of a convex body\
 , but also information about its shape\, orientation etc..\nMoreover\, gen
 erating functions for moments of the uniform distribution on convex bodies
  provide us a way to extract entries of  Minkowski volume tensors.\n\nIn t
 his talk\, we first give necessary background on Minkowski tensors and the
 ir connection to moments on polytopes. Then\, we describe Minkowski "surfa
 ce tensors"\, and  focus on some methods to obtain their entries in the ca
 se of simplicial polytopes.\n\nThis is a joint work with Niklas Livchitz a
 nd Amy Wiebe.\n
LOCATION:https://researchseminars.org/talk/UCGEN/28/
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