Homological properties of completions of discrete cluster categories

Igusa-Todorov (IT for short) discrete cluster categories are infinite discrete versions of the classical cluster category of type A. Paquette and Yildirim introduced a completion (PY completion) of IT categories. Both IT categories and their PY completions are examples of triangulated categories whose properties can be described via nice geometric models. Despite having similar geometric models, IT categories and their PY completions have different homological behaviours. In this talk, we describe the homological properties of the PY completions and compare them with the homological properties of IT categories.

Link: https://unipd.zoom.us/j/82518660070?pwd=RUpxL1FnZG9yVzFrOCtrM0xYMEZaZz09

Meeting ID: 825 1866 0070

Password: 62542