REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

ABSTRACT: In this talk we will discuss the notions of regular and Barr-exact category, recalling in particular their relation to abelian categories and their central place in the categorical characterization of the (quasi)varieties of Universal Algebra. Furthermore, we will take a look at the construction of the exact completion of a regular category and mention some of its applications. Time permitting, we will also talk about recent research regarding regularity and exactness for categories enriched in posets.