Sofia Franchini, Lancaster University

Igusa-Todorov's discrete cluster category of type A-infinity

Igusa-Todorov's discrete cluster category of type A-infinity

The Igusa-Todorov's
discrete cluster category of type A-infinity can be thought as a
generalization of the Holm-JΓΈrgensen's 2-cluster
category of type A-infinity. Both categories are triangulated
and have 2 Calabi-Yau dimension. They can also be understood
through a geometric model: their indecomposable objects can be
identified as arcs of an infinity-gon. In this talk we will see
the definition of Igusa-Todorov's category and the
classification in combinatorial terms of the cluster-tilting
subcategories, the torsion pairs, and the thick subcategories.