Appears in collection : Toposes Online

Joint work with Julia Ramos González

In this short talk, we discuss a Gabriel-Popescu theorem in the framework of dg-categories and t-structures. This exhibits any pretriangulated dg-category with a suitable t-structure (such that its heart is a Grothendieck abelian category) as a t-exact localization of a derived dg-category of dg-modules. The proof is based on a generalization of Mitchell's argument in "A quick proof of the Gabriel-Popesco theorem" and involves derived injective objects. This is joint work with Julia Ramos González (Universiteit Antwerpen).