I will describe why both infinite loop spaces and grouplike E_infinty spaces (spaces with the action of an E_infinity operad together with an existence of inverses condition) ought to yield derived abelian groups, or, more precisely, connective spectra. I will then describe the correspondence between these two types of objects as outlined in May's "The Geometry of Iterated Loop Spaces". No prior exposure to infinite loop spaces or operads will be assumed. Speaker(s): Montek Gill (University of Michigan)