On the equivariant motivic filtration of the topological Hochschild homology of polynomial algebras

TL;DR

This paper investigates the equivariant structure of the motivic filtration on topological Hochschild cohomology of polynomial algebras over finite fields, providing new insights into their algebraic and topological properties.

Contribution

It identifies the equivariant structure of the motivic filtration on topological Hochschild cohomology for polynomial algebras over _p, advancing understanding of their algebraic topology.

Findings

Explicit description of the equivariant structure of the filtered pieces

Connection between motivic filtration and equivariant homotopy theory

Enhanced understanding of topological Hochschild cohomology in algebraic geometry

Abstract

We identify the equivariant structure of the filtered pieces of the motivic filtration defined by Bhatt, Morrow and Scholze on the topological Hochschild cohomology spectrum of polynomial algebras over $\mathbb{F}_p$.