The Centre for Interdisciplinary Research in Computational Algebra (CIRCA) was established in 2000 to foster new and existing collaborative research between members of the Schools of Computer Science and of Mathematics and Statistics in the area of computational abstract algebra.

The Centre undertakes mathematical research with computer assistance, develops new techniques for computation in abstract algebra and develops and distributes software implementing these techniques. This work is supported by research grants from the EPSRC, the Leverhulme Trust, the British Council, the European Commission and the Royal Society of Edinburgh.

The Centre also organises conferences, seminars and training courses and coordinates the international efforts to develop maintain and promote the GAP (groups, algorithms and programming) software package, a leading integrated system for computational discrete mathematics and algebra.

News and Events

Visit of Arne Van Antwerpen

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!

Visit of Pascal Schweitzer

Pascal Schweitzer from TU-Darmstadt will visit CIRCA on Wednesday May 10th, and give a talk at 4pm in Maths C. All welcome.