Classic Auslander-Reiten theory is a neat tool used to paint a portrait of the category of modules over an Artinian ring. Nakayama functors play an important role in this painting. In suitable settings, the theory generalises to abelian categories, triangulated categories and their subcategories. In this talk, we will construct Nakayama functors on proper abelian subcategories. These categories, defined by Jørgensen in 2022, are generalisations of hearts of t-structures.

Talk is based on the following arXiv preprint: arXiv:2312.07323