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SUMMARY:Pablo Soberon (CUNY)
DTSTART:20210325T150000Z
DTEND:20210325T170000Z
DTSTAMP:20260422T070000Z
UID:CJCS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/10/">Tv
 erberg's theorem beyond prime powers</a>\nby Pablo Soberon (CUNY) as part 
 of Copenhagen-Jerusalem Combinatorics Seminar\n\n\nAbstract\nTverberg-type
  theory aims to establish sufficient conditions for a simplicial complex $
 \\Sigma$ such that every continuous map $f:\\Sigma \\to \\mathbb{R}^d$ map
 s $q$ points from pairwise disjoint faces to the same point in $\\mathbb{R
 }^d$.  Such results are plentiful for $q$ a prime power.  However\, for $q
 $ with at least two distinct prime divisors\, results that guarantee the e
 xistence of $q$-fold points of coincidence are non-existent— aside from 
 immediate corollaries of the prime power case.  Here we present a general 
 method that yields such results beyond the case of prime powers.  Joint wo
 rk with Florian Frick.\n
LOCATION:https://researchseminars.org/talk/CJCS/10/
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