Speaker: Piotr Pstragowski, Harvard Univ.

Title:  Quivers and the Adams spectral sequence

Abstract:  Associated to each homology theory we have an Adams spectral sequence computing stable homotopy classes of maps. Under flatness assumptions, the second page can be identified with cohomology of a certain Hopf algebroid, giving the spectral sequence its computational power. Unfortunately, this identification fails in many important examples, such as integral homology or connective Morava K-theory, making these spectral sequences hard to calculate with. In this talk, I will describe a novel method of identifying the second page in terms of cohomology in representations of certain quivers. This is based on joint work with Burklund.