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Seminar

GFA Main Seminar: Fine approximation of convex bodies by polytope October 05, 2017 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Dimitry Ryabogin (Kent State University)
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This is a joint result with M\'arton Nasz\'odi and Fedor Nazarov. We prove that for every convex body $K$ with the center of mass at the origin and every $\varepsilon\in \left(0,\frac{1}{2}\right)$, there exists a convex polytope $P$ with at most $e^{O(d)}\varepsilon^{-\frac{d-1}{2}}$ vertices such that $(1-\varepsilon)K\subset P\subset K$.

 

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