Arne Van Antwerpen will be here on 16/17/18 May, visiting Olexandr Konovalov.

Arne will give a CIRCA seminar on the Wednesday afternoon, 4-5 in Theatre C.

Title: Multipermutation solutions of the Yang-Baxter equation and nilpotency of skew braces

Abstract: This talk will be based on joint work with Eric Jespers and Leandro Vendramin. The class of multipermutation solutions is a particularly interesting class of solutions of the celebrated Yang-Baxter equation (coming from mathematical physics) with a beautiful combinatorial structure. It was shown that this class corresponds to right nilpotent skew left braces of nilpotent type. In this talk we delve deeper into this class of skew left braces and identify the class of centrally nilpotent skew braces. We discuss that these behave very similar to nilpotent groups and will identify several possible central series for these objects. If time permits, we use this class to illustrate several other key concepts of skew left braces. The talk will be rife with examples and exciting open problems.

All welcome!

The final two CIRCA seminars of term will be

Thursday 17th November: Finn Smith and Jacob Beaddie

Thursday 24th November: Michael Young and Peter Cameron. Note the unusual date for this one, and also that it will be in Purdie C rather than Maths.

The seminars for Autumn 2022 will be held on Thursdays of even weeks at 1pm in Theatre B of Maths. The schedule at present is:

September 22nd: Colva Roney-Dougal and Chris Jefferson

October 6th: Ruth Hoffman and Alan Logan

October 20th: Saul Freedman and Ozgur Akgun

November 3rd: Jendrik Brachter (TU Darmstadt)

November 17th: TBA

December 1st: Michael Young and Peter Cameron

The next CIRCA Lunchtime Seminar will be on Thursday 15th February in Maths Lecture Theatre C at 1pm. Ian Gent and Markus Pfeiffer will be speaking.

There will be a workshop on Groups, Generalisations and Applications at the ICMS in Edinburgh on the afternoon of Wednesday 8 November. Organisers are Jim Howie (Heriot-Watt), Ben Martin (Aberdeen) and Colva Roney-Dougal (St Andrews). Further details are available here.