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SUMMARY:Pablo Soberon (Baruch College (CUNY))
DTSTART:20200602T183000Z
DTEND:20200602T185500Z
DTSTAMP:20260423T011238Z
UID:CANT2020/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/24/
 ">The topological Tverberg problem beyond prime powers</a>\nby Pablo Sober
 on (Baruch College (CUNY)) as part of Combinatorial and additive number th
 eory (CANT 2021)\n\n\nAbstract\nTverberg-type theory aims to establish suf
 ficient conditions for a simplicial complex $\\Sigma$ such that \nevery co
 ntinuous map $f\\colon \\Sigma \\to \\mathbb{R}^d$ maps $q$ points from pa
 irwise disjoint faces \nto the same point in~$\\mathbb{R}^d$. Such results
  are plentiful for $q$ a power of a prime. \nHowever\, for $q$ with at lea
 st two distinct prime divisors\, results that guarantee the existence \nof
  $q$-fold points of coincidence are non-existent---aside from immediate co
 rollaries of the prime \npower case. Here we present a general method that
  yields such results beyond the case of prime powers. \n\nJoint work with 
 Florian Frick.\n
LOCATION:https://researchseminars.org/talk/CANT2020/24/
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