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SUMMARY:Santaló Geometry of Convex Polytopes - Simon Telen (Max Planck In
 stitute for Mathematics in the Sciences)
DTSTART:20240126T114500Z
DTEND:20240126T124500Z
UID:TALK208087@talks.cam.ac.uk
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 rep
 laces other natural objective functions in convex optimization\, such as t
 he logarithmic barrier minimized by the analytic center. When translating 
 the facet hyperplanes\, the Santal&oacute\; point traces out a patchwork o
 f semialgebraic sets. I will describe and compute this geometry using alge
 braic and numerical techniques. I will also explore connections with stati
 stics\, optimization and physics. This is joint work with Dmitrii Pavlov.
LOCATION:Seminar Room 1\, Newton Institute
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