Abstract:
We will introduce the even filtration of Hahn-Raksit-Wilson. This is a filtration on all commutative ring spectra, which specializes for some rings to previously known filtrations such as the Adams-Novikov filtration and the motivic filtration of Bhatt-Morrow-Scholze on THH(R). We will define the even filtration and show that it satisfies descent along evenly faithfully flat maps.