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Nicolas Williams, University of Cambridge
Wednesday 21 January 2026, 16:30-17:30
Cluster algebras, cluster categories, and higher cluster categories
- đ¤ Speaker: Nicolas Williams, University of Cambridge
- đ Date & Time: Wednesday 21 January 2026, 16:30 - 17:30
- đ Venue: MR12
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Abstract
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.
Series This talk is part of the Algebra and Representation Theory Seminar series.
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