Title: Quivers and the Adams spectral sequence
Speaker: Piotr Pstrągowski
Speaker Info: Harvard University
Special Note: Zoom talk. Contact the organizer for a link.
Associated to each homology theory we have an Adams spectral sequence computing stable homotopy classes of maps. Under certain flatness assumptions, the E_2-term 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 mysterious and hard to calculate with. In this talk, I will describe a novel method of identifying these E_2-terms in terms of cohomology in representations of certain quivers. This is based on joint work with Burklund.Date: Tuesday, March 8, 2022