Dual algebraic structures and enrichment

Abstract: In this talk, we will provide an overview of the sometimes called “Sweedler theory” for algebras and modules. This begins by establishing an enrichment of the category of algebras in the category of coalgebras, as well as an enrichment of a global category of modules in a global category of comodules, giving rise to a structure described as an enriched fibration. Moreover, by investigating a many-object generalization involving categories and modules, we will discuss further directions and applications of this framework to operadic structures.

Mathematics

Audience: researchers in the topic

Greek Algebra & Number Theory Seminar