The topological Tverberg problem

Florian Frick

Carnegie Mellon University


Date: Wednesday, September 22, 2021
Time: 4:00 pm - 5:00 pm
Location: Virtual

Birch proved in 1959 that 3n points in the plane can be split into n triples such that the triangles determined by them all capture a common point. Or equivalently, for any straight-line drawing of the complete graph on 3n vertices in the plane, there is a partition into n 3-cycles that all surround a common point. In this talk we will explore whether this remains true for drawings that do not necessarily consist of straight lines and the surprises one encounters in higher dimensions. This is joint work with Pablo Soberón.


*Email for a link to the talk.*