Cohomology fractals

Professor Saul Schleimer

University of Warwick, UK
Barton Lectures in Computational Mathematics


Date: Wednesday, November 18, 2020
Time: 4:00 pm - 5:00 pm
Location: Virtual
Saul Schleimer is a geometric topologist, working at the University of Warwick. His other interests include combinatorial group theory and computation. He is especially interested in the interplay between these fields and additionally in visualization of ideas from these fields. Dr. Schleimer earned his PhD in 2001 from the University of California, Berkley.

Abstract: We introduce “cohomology fractals”; these are a sort of dual to Cannon-Thurston maps for hyperbolic three-manifolds.  We have implemented these using a novel ray-tracing algorithm.  It is designed to be fast; in fact, it runs in your browser!  After recalling some of the history of hand- and computer-drawn images of Kleinian groups, I will explain both cohomology fractals and the implementation of the browser application.

This is joint work with David BachmanMatthias Goerner, and Henry Segerman.  Please see our YouTube videos or our expository paper for more details