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.