Examples of chromatic redshift

Abstract: One form of the Ausoni-Rognes chromatic redshift philosophy is that algebraic K-theory raises the chromatic complexity of a ring by one. Work of Clausen-Mathew-Naumann-Noel shows, in particular, that K-theory raises height by at most one; on the other hand, recent work of Hahn-Wilson gives an example at each height (a form of $BP\langle n\rangle$) where this height shifting does occur. In this talk, I will discuss a simple non-computational proof of this height shifting in a range of examples, including Lubin-Tate theories and the iterated K-theory of fields.

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