REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

ABSTRACT: Interpretation functors are a uniform additive version of the model theoretic notion of interpretation for module categories. Algebraically, they are simply additive functors I : Mod-R → Mod-S between module categories which commute with direct limits and products. In this talk, I will introduce interpretation functors and give an overview of results about their (non-)existence and their usefulness, with a particular focus on finite-dimensional algebras.
Any necessary notions coming from model theory will be introduced during the talk.