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SUMMARY:Boris Bukh (Carnegie Mellon University)
DTSTART:20200803T140000Z
DTEND:20200803T150000Z
DTSTAMP:20260423T035540Z
UID:EPC/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EPC/20/">Con
 vex holes in high-dimensional point sets</a>\nby Boris Bukh (Carnegie Mell
 on University) as part of Extremal and probabilistic combinatorics webinar
 \n\n\nAbstract\nIt is well-known that every large enough set P in an Eucli
 dean space contains k points in convex position. Such k points are called 
 "hole" if their convex hull contains no other point of P. We present a new
  construction of k-hole-free sets in high-dimensional spaces. Surprisingly
 \, the construction is based on non-trivial low-discrepancy sequences used
  for numerical integration.                                               
                                                                           
                                  \nJoint work with Ting-Wei Chao and Ron H
 olzman.\n
LOCATION:https://researchseminars.org/talk/EPC/20/
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