Categories are objects and morphisms with identities and composition, subject to some coherence laws characterizing identities and stating the associativity of composition. Category theory studies categories and related constructions, such as functors, natural transformations, adjunctions, (co)limits, universal properties, etc.
> And yes it has everything to do with AI
No, category theory is not about AI. My training was certainly sufficient for me to refute that connection, and the way you keep referring to my "training" rubs me the wrong way.