The Derived Auslander-Iyama Correspondence, a recent theorem of Muro and myself, guarantees the existence of unique (DG) enhancements for algebraic triangulated categories that satisfy mild finiteness conditions as well as a dℤ-cluster tilting object. I will explain a by-product of our work that permits us to construct, to the best of our knowledge, the first examples of algebraic triangulated categories that admit a unique enhancement but not a unique strong enhancement in the sense of Lunts and Orlov. This talk is based on joint work with Fernando Muro (Sevilla).
This video is part of the New Directions in Group Theory and Triangulated Categories seminar series.
