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Graduiertenkolleg Angewandte Algorithmische Mathematik



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An arithmetic proof of John's ellipsoid theorem

Vortragender:

Franz Schuster, TU Wien
Termin: Donnerstag, 29. September 2005, 14 Uhr
Ort: 02.04.011
eingeladen von: Prof. Gritzmann


We give a new geometric proof of John’s characterization of the unique ellipsoid of maximum volume contained in a convex body. The idea (due to Voronoi) is to identify ellipsoids with points in a higher dimensional space. The same method applies to the ’hard part’ of a generalization of John’s theorem.


Tina  Marquardt (marquard(at) ma.tum.de)
 September 2005