Topology Seminar | Andrew Senger (University of Maryland)

Title: Synthetic E_\infty-rings

Abstract: In this talk, I will introduce the category of synthetic

E_\infty-ring, a categorification of the even filtration of

Hahn-Raksit-Wilson, and discuss some of its basic properties. As an

application, I will explain how the category of synthetic

E_\infty-rings can be used to give the even filtration a universal

property as a left adjoint. I will also explain how this technology

can be used to further our understanding of the motivic filtration on

THH.

This is joint work with Devalapurkar, Hahn, and Raksit.

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