On the shift dynamics of groups of Fibonacci type

On the shift dynamics of groups of Fibonacci type 

A group is said to be cyclically presented if it admits a presentation with a certain cyclic symmetry. Such a symmetry induces a periodic automorphism of the group called the shift, and its dynamics strongly impacts the structure of the group.

In this talk, we investigate the shift dynamics of the cyclically presented groups of Fibonacci type. These groups have a rich history and have been studied from a variety of perspectives, from combinatorial group theory to 3-manifold topology. We use these perspectives to study the shift dynamics and go on to introduce topological and computational techniques for identifying fixed points.

Speaker

Kirk McDermott, Slippery Rock University

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk)