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DTSTART:20220313T070000
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DTSTART;TZID=America/Toronto:20230123T143000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/colloquium-20
SUMMARY:Colloquium
CLASS:PUBLIC
DESCRIPTION:DMITRY RYABOGIN\, KENT STATE UNIVERSITY\n\n\"ON BODIES FLOATING
  IN EQUILIBRIUM IN EVERY ORIENTATION\"\n\nWe give a negative answer to Ula
 m's Problem 19 from the Scottish Book\nasking _is a solid of uniform densi
 ty which will float in water in\nevery position a sphere?_ Assuming that 
 the density of water is 1\, we\nshow that there exists a strictly convex b
 ody of revolution K\\subset\n{\\mathbb R^3} of uniform density \\frac{1}{
 2}\, which is not a\nEuclidean ball\, yet floats in equilibrium in every 
 orientation.\n\nMC 5501
DTSTAMP:20260503T062717Z
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