Moss and Kochman theorems in the cofiber-of-tau formalism
报告人：吴雨宸(UCSD)
时间：2026-07-08 15:00-16:00
地点：镜春园 77201
Abstract: The Moss convergence theorem relates Massey products in a multiplicative spectral sequence to Toda brackets in the target, while Kochman’s theorem predicts differentials supported by certain Massey products when the convergence theorem does not apply. In this talk, I will discuss two new computational principles in the cofiber-of-tau formalism that recover and extend the 3-fold bracket versions of these classical results, incorporate hidden extensions and total differentials, and are flexible enough to treat both ring-valued and module-valued bracket constructions. I will also give examples of their use in Adams spectral sequence computations. This is joint work with Shangjie Zhang.
