The goal of the workshop is to explore the interface between classical equivariant topology, which studies actions of (finite or compact) groups on topological spaces, and the emerging field of infinity categories, which is a framework for studying spaces up to higher coherent homotopies. The workshop will consist of a minicourse in infinity-categories, with talks on simplicially- and cubically-enriched categories, quasicategories, and applications to higher homotopy operations and homotopy coherence, and specialized talks on equivariant homotopy theory.