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 E2-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 E2-terms in terms of cohomology in representations of certain quivers. This is based on joint work with Burklund.

algebraic topology

Audience: researchers in the topic

Comments: To add this to your calendar, the ics file for this seminar is here: math.mit.edu/topology/topology_seminar.ics

---

MIT topology seminar

Series comments: We meet at varying times on Monday. Click here to join the zoom meeting . The Zoom meeting room number is 132-540-375.

The mailing list for this seminar is the MIT topology google group. Email Mike Hopkins if you want to join the list.

---