UCalgary Peripatetic Seminar: Kristaps Balodis

Given two isomorphic groups G and H, one may identify representations of H with representations of G along some fixed isomorphism from G to H. However, this process of identifying representations depends crucially on the isomorphism of groups one begins with, and thus we are left asking ourselves how to privilege one isomorphism over the other, or if we should. In this talk, we will discuss how the above question naturally leads one to the concept of a fibered category. We will also briefly discuss other examples of fibered categories, and speculate about generalizations of the original question.