In this talk, we will report on ongoing joint work with Gustavo Jasso. The goal is to show that algebraic triangulated categories satisfying the assumptions in the title have a unique DG-enhancement over a ground perfect field, up to Morita equivalence. This extends previous work on finite triangulated categories. The key step is the connection with Geiss-Keller-Oppermann’s notion of n-angulated categories, which are like triangulated categories but with longer ‘triangles’.
This video is part of the New Directions in Group Theory and Triangulated Categories seminar series.
