Chromatic Higher Semiadditivity by Height Induction

2025/01/14 by Ben-Moshe, Shay
#Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2501.08092

Abstract

We give a new proof of the ∞-semiadditivity of K(n)-local spectra. The proof proceeds by induction on the height via algebraic K-theory, utilizing recent advances in chromatic homotopy theory and the redshift conjecture, instead of using the Ravenel-Wilson computation of the Morava K-theory of Eilenberg-MacLane spaces.

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