Summary

The secondary Steenrod algebra is an enrichment of the classical Steenrod algebra that takes into account not only primary products but also threefold Massey products. Baues, together with various co-authors, established that the Adams E3-page can be computed in terms of homological algebra over the secondary Steenrod algebra. Following work of Christian Nassau, Dexter Chua demonstrated that this computation can be made effectively by machine.

In other words, we have a practical algorithm for computing Adams d2 differentials. Traditionally, we are accustomed to thinking of the Adams spectral sequence as starting with an E2-page. Since the E3-page can be computed exhaustively by machine, it is the new starting point for deeper analysis of the Adams spectral sequence.

Participant expectations

Participants will take turns giving presentations. The seminar organizers will make sure that presenters have written source material upon which to base their presentations and notes. Participants are expected to attend regularly.

Participants are encouraged to skim the source material being presented each week. They are also encouraged to participate in the private shared online workspace.

As a general rule, students are expected to obtain 1-2 independent study credits from their home universities for their participation in the seminar. This requirement is waived on an individual basis for students whose home universities do not have formal independent study opportunities.

Organizers

The seminar is organized by Dan Isaksen (Wayne State University), Eva Belmont (Case Western Reserve University) and Martin Frankland (University of Regina). They are assisted by graduate student assistants to be named.

Application

Please submit the application form to apply. Applications received by 15 August will receive full consideration. Contact Dan Isaksen for inquiries about applications.

Schedule

The seminar meets on Tuesdays at 1:00pm eastern time, starting 2 September and ending 9 December. There is no meeting on 25 November. Applicants should tentatively reserve these times in their schedules.