Akhil Mathew - On K(1)-local TR

The K(1)-localization of algebraic K-theory was first studied by Thomason, who showed that it is filtered by étale cohomology under mild hypotheses. Using some recent advances in the theory of topological Hochschild homology and cyclotomic spectra, I will explain some general properties of K(1)-local TR and an analog of Thomason's result in this context.