15:00 - 16:00
Zoom
Kirk McDermott
Lectures, talks and seminars
MESS
Mathematics, Statistics and Actuarial Science, School of
Jesus Martinez-Garcia jesus.martinez-garcia@essex.ac.uk
These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.
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.
Kirk McDermott, Slippery Rock University
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)