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SUMMARY:Serhii Myroshnychenko (University of the Fraser Valley)
DTSTART:20241024T210000Z
DTEND:20241024T220000Z
DTSTAMP:20260513T193328Z
UID:SFUOR/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUOR/47/">C
 entroid of a convex body can be rarely the centroid of its sections</a>\n
 by Serhii Myroshnychenko (University of the Fraser Valley) as part of PIMS
 -CORDS SFU Operations Research Seminar\n\nLecture held in ASB 10908.\n\nAb
 stract\nWe construct a convex body $K$ in $R^n$\, $n \\ge 5$\, with the pr
 operty that there is exactly one hyperplane $H$ passing through $c(K)$\, t
 he centroid of $K$\, such that the centroid of $K \\cap H$ coincides with 
 $c(K)$. This provides answers to questions of Grunbaum and Loewner for $n 
 \\ge 5$. The proof is based on the existence of non-intersection bodies in
  these dimensions. Joint work with K. Tatarko and V. Yaskin.\n
LOCATION:https://researchseminars.org/talk/SFUOR/47/
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