This talk presents a recent paper of the same name, written by Ravi Vakil and Kirsten Wickelgren. In topology, the notions of the fundamental group and the universal cover are closely intertwined. By importing usual notions from topology into the algebraic and arithmetic setting, we construct a fundamental group family from a universal cover, both of which are schemes. A geometric fiber of the fundamental group family (as a topological group) is canonically the etale fundamental group.