Cluster algebras, cluster categories, and higher cluster categories

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• Nicolas Williams, University of Cambridge
• Wednesday 21 January 2026, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

In this talk I will give an introduction to the cluster algebras of Fomin and Zelevinsky and discuss their categorification via the cluster categories of Buan, Marsh, Reineke, Reiten, and Todorov. I will then talk about the higher cluster categories of Oppermann and Thomas and their relationship with a family of polytopes known as cyclic polytopes in even dimensions. I will finish by mentioning some of my own work in this area, namely showing how to extend this picture to odd-dimensional cyclic polytopes.

This talk is part of the Algebra and Representation Theory Seminar series.

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