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Generalised cluster categories from n-Calabi-Yau triples

Francesca Fedele (University of Verona)
Wednesday 8 September 2021 15:15–16:00 Aud. D3 (1531-215)
Mathematics Seminar

The original definition of cluster algebras by Fomin and Zelevinsky has been categorified and generalised in several ways over the past 20 years. In this talk, we focus on Iyama and Yang’s generalised cluster categories T/T^fd, coming from n-Calabi-Yau triples. In such a construction, T is a triangulated category with triangulated subcategory T^fd and silting subcategory M. Using a different approach from Iyama and Yang, we give a deeper understanding of T/T^fd and reprove it is a generalised cluster category. In order to do so, we use more classic homological tools such as limits, colimits and a gap theorem.

Organised by: AarHomAlg
Contact: Peter Jørgensen Revised: 25.05.2023