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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
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

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

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Frank Adams
Alan Turing Building
Manchester

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Kieran Calvert

kieran.calvert@manchester.ac.uk

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