Enriched Grothendieck categories naturally occur in algebraic geometry, where associated abelian categories rarely have projectives but have plenty of information encoded by enriched category theory. In this talk general properties of derived categories for Grothendieck categories of enriched functors and various recollements of such categories will be presented. Applications are given for Voevodsky’s triangulated categories of motives.
This is joint work with Darren Jones.
This video is part of the New Directions in Group Theory and Triangulated Categories seminar series.
