Clinton Conley : Dividing the sphere by rotations (CANCELED)

Posted by Filippo Calderoni , part of the Logic Seminar.

At

Oct. 12, 2021, 4 p.m.

In

636 SEO

Abstract

We say that a subset A of the sphere r-divides it if r-many rotations of A perfectly tile the sphere's surface. Such divisions were first exhibited by Robinson ('47) and developed by Mycielski ('55). We discuss a colorful approach to finding these divisions which are Lebesgue measurable or possess the property of Baire. This includes joint work with J. Grebik, A. Marks, O. Pikhurko, and S. Unger.