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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Santaló Geometry of Convex Polytopes - Simon Telen
  (Max Planck Institute for Mathematics in the Scie
 nces)
DTSTART;TZID=Europe/London:20240126T114500
DTEND;TZID=Europe/London:20240126T124500
UID:TALK208087AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/208087
DESCRIPTION:The Santal&oacute\; point of a convex polytope is 
 the interior point which leads to a polar dual of 
 minimal volume. This dual volume replaces other na
 tural objective functions in convex optimization\,
  such as the logarithmic barrier minimized by the 
 analytic center. When translating the facet hyperp
 lanes\, the Santal&oacute\; point traces out a pat
 chwork of semialgebraic sets. I will describe and 
 compute this geometry using algebraic and numerica
 l techniques. I will also explore connections with
  statistics\, optimization and physics. This is jo
 int work with Dmitrii Pavlov.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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