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workshopbusemann [2014/01/15 07:44] BARTHE Franck [Program] |
workshopbusemann [2014/01/29 17:35] (current) BARTHE Franck [Program] |
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Abstract: The tenth Busemann-Petty problem asks wether flat subspaces of a norm space are area minimizers for the Haussdorff measure. For a long time, only the hyperplanes were known to have minimal area and this is a consequence of Busemann's theorem on the convexity of intersection bodies. In this talk, we wil give two proofs of this theorem, one geometric with the help of floating bodies and one analytical which directly extends to a proof of the convexity of L_p-intersection bodies. | Abstract: The tenth Busemann-Petty problem asks wether flat subspaces of a norm space are area minimizers for the Haussdorff measure. For a long time, only the hyperplanes were known to have minimal area and this is a consequence of Busemann's theorem on the convexity of intersection bodies. In this talk, we wil give two proofs of this theorem, one geometric with the help of floating bodies and one analytical which directly extends to a proof of the convexity of L_p-intersection bodies. | ||

+ | \\ {{:2014-01-14-expose-berck.pdf|Slides of the lecture}} \\ | ||

** Lecture** by [[http://www.google.com/search?q=Andreas+Bernig"|A. Bernig]]: "Minimality of $k$-planes in normed spaces" | ** Lecture** by [[http://www.google.com/search?q=Andreas+Bernig"|A. Bernig]]: "Minimality of $k$-planes in normed spaces" |