Title: Homotopy theory and algebras over the sphere spectrum
Speaker: John Harper (OSU-Newark)
Abstract: We will introduce the homotopy theoretic notion of commutative rings, called commutative ring spectra, which makes precise the notion of doing algebra over the sphere spectrum S. We will describe some recent results about recovering such ring spectra from their spectrum-level homology and co-operations using the notions of resolutions, homotopy limits, and derived completions.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn and Spring semesters. Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, Call/Class # 17170 (with Prof H. Moscovici).