Events

Florian Frick

Carnegie Mellon University
Colloquia
https://www.math.cmu.edu/~ffrick/

When

Date: Wednesday, September 22, 2021
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Florian Frick is Associate Professor (pre-tenure) in the Department of Mathematical Sciences at Carnegie Mellon University. He is currently on leave to be a Gastprofessorat FreieUniversität Berlin. His research develops new geometric and topological methods to solve many diverse problems. These include inscribing geometric shapes into curves and problems of fair division.

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.