Séminaires : Séminaire d'Algèbre

Exact dg categories allow to enhance extriangulated categories and to perform constructions like functor categories or tensor products for which the extriangulated structure alone does not suffice. In particular, they yield a new approach to and a generalization of higher versions of Auslander correspondences as established by Iyama and by Iyama-Solberg, for example. In this talk, I will give an introduction to exact dg categories and sketch their application to correspondences on the example of 0-Auslander categories. We will see in particular that the framework of exact dg categories allows to enhance the correspondences to equivalences of infinity-groupoids.

This talk will take place on Zoom only.