Tverberg's theorem beyond prime powers
Pablo Soberon (CUNY)
Abstract: Tverberg-type theory aims to establish sufficient conditions for a simplicial complex $\Sigma$ such that every continuous map $f:\Sigma \to \mathbb{R}^d$ maps $q$ 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 existence 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 work with Florian Frick.
computational geometrydiscrete mathematicscommutative algebracombinatorics
Audience: researchers in the topic
Copenhagen-Jerusalem Combinatorics Seminar
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Organizers: | Karim Adiprasito, Arina Voorhaar* |
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