# Tverberg's theorem and weak epsilon-nets for convex sets

## Pablo Soberon, Baruch College/CUNY

## Date and time: 6pm, Tuesday, February 12, 2019

## Place: Courant Institute, WWH1314

Tverberg's theorem and the existence of weak epsilon-nets for convex
sets are two strong results regarding the intersection structure of
convex sets. They are related to each other: Tverberg's theorem can
be used to prove the existence of weak epsilon-nets. During this
talk, we will discuss variations of each of these results that further
explore the connection between them. We will discuss quantitative
versions of weak epsilon-nets and variations of Tverberg's theorem
where we are given several partitions of a set of points.