Event Details

Speaker: Sofia Franchini (Lancaster) Title: A negative Calabi-Yau version of discrete cluster categories

Abstract: Igusa-Todorov discrete cluster categories (IT categories) are a class of triangulated categories having a nice geometric model. Their indecomposable objects are in bijection with the arcs of an infinity-gon and their morphisms can be understood via crossings of arcs. IT categories are 2-Calabi-Yau, i.e. their Hom-spaces are somehow symmetric. For a specific case, there exist versions of IT categories having different Calabi-Yau parameters. In this talk we discuss the main properties of IT categories and we introduce a (-1)-Calabi-Yau version obtained from infinite discrete symmetric Nakayama representations.