Manchester Algebra Seminar - James Timmins
|Dates:||7 December 2021|
|Times:||13:00 - 14:00|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, Current University students|
Speaker: Rob Nicolaides
Title: Coxeter Groups and Tilings of Polygons
Abstract: Coxeter groups are a family of groups with a rich, combinatorial theory. Each group is equipped with a set of canonical generators and understanding how to express each element as a minimal product of these generators (so-called 'reduced words') plays an important role in the literature.
In 1993, Elnitsky examined three Coxeter groups and constructed elegant bijections between classes of their reduced words and certain tilings of polygons. We'll examine these bijections and ask the question: Why just three - can we find tilings for all Coxeter Groups? Finally, I'll present some recent joint-work (with Prof Peter Rowley) attempting to answer this question.
Place: Frank Adams (and to be streamed online*)
- subject to equipment and connection
Tea and biscuits 12:45 in the foyer
Travel and Contact Information
Alan Turing Building