University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Generalised cluster categories from n-Calabi-Yau triples

Generalised cluster categories from n-Calabi-Yau triples

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

CAR - Cluster algebras and representation theory

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 $\mathcal{T}/\mathcal{T}$, coming from $n$-Calabi-Yau triples. In such a construction, $\mathcal{T}$ is a triangulated category with triangulated subcategory $\mathcal{T}{fd}$ and silting subcategory $\mathcal{M}$. Using a different approach from Iyama and Yang, we give a deeper understanding of $\mathcal{T}/\mathcal{T}^{fd}$ 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity