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SUMMARY:Generalised cluster categories from n-Calabi-Yau triples - Frances
 ca Fedele (Università degli Studi di Verona\, Università degli Studi di 
 Padova)
DTSTART:20211029T150000Z
DTEND:20211029T160000Z
UID:TALK164647@talks.cam.ac.uk
DESCRIPTION:<p>The original definition of cluster algebras by Fomin and Ze
 levinsky has been categorified and generalised in several ways over the pa
 st 20 years. In this talk\, we focus on Iyama and Yang's generalised clust
 er categories $\\mathcal{T}/\\mathcal{T}^{fd}$\, coming from $n$-Calabi-Ya
 u triples. In such a construction\, $\\mathcal{T}$ is a triangulated categ
 ory with triangulated subcategory $\\mathcal{T}^{fd}$ and silting subcateg
 ory $\\mathcal{M}$. Using a different approach from Iyama and Yang\, we gi
 ve 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 clas
 sic homological tools such as limits\, colimits and a gap theorem.</p>
LOCATION:Seminar Room 1\, Newton Institute
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