Primes and fields in stable motivic homotopy theory

from the tensor triangular spectrum of the homotopy category of compact motivic spectra to the homogeneous Zariski spectrum of Milnor–Witt $K$ –theory. We also comment on the tensor triangular geometry of compact cellular motivic spectra, producing in particular novel field spectra in this category. We conclude with a list of questions about the structure of the tensor triangular spectrum of the stable motivic homotopy category.

Keywords

tensor triangular geometry, stable motivic homotopy theory

Mathematical Subject Classification 2010

Primary: 14F42

Secondary: 19D45, 55P42, 18E30

References

Publication

Received: 19 August 2016

Revised: 19 July 2017

Accepted: 29 August 2017

Published: 5 April 2018

Proposed: Stefan Schwede

Seconded: Mark Behrens, Haynes R Miller

Authors

Jeremiah Heller
Department of Mathematics University of Illinois at Urbana-Champaign Urbana IL United States

Kyle M Ormsby
Department of Mathematics Reed College Portland OR United States

Volume 22, issue 4 (2018)

Jeremiah Heller and Kyle M Ormsby

Abstract

Keywords

Mathematical Subject Classification 2010

References

Publication

Authors