A deformation of unstable homotopy theory

The category of synthetic spectra based on some homology theory augments that of spectra by remembering the comodule structure on homology groups. In recent years, synthetic methods have been a very fruitful technique, with diverse applications. In this talk, I will discuss an unstable analogue, which augments the category of pointed connected spaces (animae) by remembering a canonical filtration defined by Curtis. I'll discuss the background, and potential applications.