| | | Dr Ian Short
~ Frieze Patterns and Farey Complexes ~
Our first talk of the day was from Ian Short who presented some recent progress and results on Frieze Patterns and Farey Complexes. This is a delightfully visual topic that combines arrays of integers with tessellations of the hyperbolic plane. These provide insights into the remarkable combinatorial structures of cluster algebras. When I was at the Open University, Ian was offering to supervise a PhD studentship on this topic. This was taken up by Andrei Zabolotskii. Under Ian's guidance (and Dr Matty Van Son) they are clearly making strong progress. This was a marvellously accessible talk that got the day off to a terrific start.
Update: A paper related to this talk, published January 2024, is publicly available : Frieze Patterns and Farey Complexes
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