The chromatic behavior of algebraic K-theory

Abstract: There is a classic theorem of Waldhausen stating that algebraic K-theory preserves under certain hypotheses rational equivalences of ring spectra. From the viewpoint of chromatic homotopy theory, rationalization is just the zeroth step in an infinite ladder of localizations. I will report on joint work with Land and Tamme, where we extend Waldhausen's theorem to higher chromatic localizations. This has a number of consequences, in particular about the K(1)-local K-theory of rings and red shift phenomena.

commutative algebraalgebraic geometryalgebraic topologygeometric topologyK-theory and homology

Audience: researchers in the topic

electronic Algebraic K-theory Seminar

Series comments: Description: Research seminar on algebraic K-theory