Algebra/Topology Seminar

Lennart Meier (University of Utrecht)

Title: K(n)-local algebraic K-theory

Abstract: While the algebraic K-theory of Z/p^k remains unknown, Bhatt-Clausen-Mathew have recently shown that the K(1)-localization of K(Z/p^k) vanishes. In work with Land and Tamme we give a new proof of this theorem, which also applies to K(i)-localizations of other ring spectra. The main new tool is a result about the behavior of K(n)-local algebraic K-theory with respect to K(n)-equivalences of ring spectra.