Motivic Homotopical Galois Extensions

2016/11/01 by Beaudry, Agnes, Hess, Kathryn, Kedziorek, Magdalena +2
#14F42 #55P42 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.00382

Abstract

We establish a formal framework for Rognes's homotopical Galois theory and adapt it to the context of motivic spaces and spectra. We discuss examples of Galois extensions between Eilenberg-MacLane motivic spectra and between the Hermitian and algebraic K-theory spectra.

Related

• Motivic spectra and universality of K-theory
• Motivic Landweber Exactness
• Motivic homotopy theory and stable homotopy groups
• Introduction to the Category of Derived Motivic Spectra
• Galois reconstruction of Artin-Tate ℝ-motivic spectra