On the shift dynamics of groups of Fibonacci type

  • Thu 24 Jun 21

    15:00 - 16:00

  • Online


  • Event speaker

    Kirk McDermott

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematical Sciences, Department of

  • Contact details

    Jesus Martinez-Garcia

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.

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.


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)

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