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SUMMARY:Xavier Goaoc (École des Mines de Nancy)
DTSTART:20211104T151500Z
DTEND:20211104T170000Z
DTSTAMP:20260422T065719Z
UID:CJCS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/30/">Co
 ncentration in order types of random point sets</a>\nby Xavier Goaoc (Éco
 le des Mines de Nancy) as part of Copenhagen-Jerusalem Combinatorics Semin
 ar\n\n\nAbstract\nThe order type of a planar point set is a combinatorial 
 structure that \nencodes many of its geometric properties\, for instance t
 he face lattice \nof its convex hull or the triangulations it supports. In
  a sense\, it is \na generalization of the permutation associated to a seq
 uence of real \nnumbers.\n\nThis talk will start with a quick introduction
  to order types. Then\, \nI'll discuss a concentration phenomenon that ari
 ses when taking order \ntypes of various natural models of random point se
 ts\, and that makes \norder types hard to sample efficiently. This will gi
 ve us an occasion to \n  revisit Klein's celebrated proof of the classific
 ation of finite \nsubgroups of SO(3).\n\nThis is joint work with Emo Welzl
  (https://arxiv.org/abs/2003.08456).\n
LOCATION:https://researchseminars.org/talk/CJCS/30/
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