Report on ${\mathbb{E}}_{\infty }$-descendability

Abstract

We introduce the notion of ${\mathbb{E}}_{\infty }$-descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are ${\mathbb{E}}_{\infty }$-descendable. As an application, we prove a variant of Tannaka duality.

comments welcome