Zoom link: https://princeton.zoom.us/j/96282936122

Passcode: 998749

I will talk about joint work with Bob Bruner. We show that if we factor the long exact sequence in cohomology of a cofiber sequence of spectra into short exact sequences, then the d_2-differential in the Adams spectral sequence of any one term is related in a precise way to Yoneda composition with the 2-extension given by the complementary terms in the long exact sequence.  We use this to give a complete analysis of the Adams spectral sequence for the connective image-of-J spectrum, finishing a calculation begun by Don Davis in 1975.