@article{635b35c0f010443a8cfeb2420538bd63,
title = "Motivic homotopical Galois extensions",
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.",
keywords = "Galois theory, Model category, Motivic homotopy theory",
author = "Agn{\`e}s Beaudry and Kathryn Hess and Magdalena Kȩdziorek and Mona Merling and Vesna Stojanoska",
note = "Funding Information: We thank Jeremiah Heller for extensive conversations and insight, and we thank both Jeremiah Heller and David Gepner for sharing drafts of their work in progress with us. We thank Drew Heard for alerting us to the fact that is not known to be a map of commutative motivic ring spectra. We thank the Banff International Research Station for its hospitality and support during the Women in Topology II meeting, and we especially thank the organizers of WIT who made this project possible. This research was partially supported by the Simons Foundation and by the Mathematisches Forschungsinstitut Oberwolfach , and by the Hausdorff Institute for Mathematics in Bonn. This material is also based upon work supported by the National Science Foundation under Grant No. DMS-1606479 , Grant No. DMS-1612020/1725563 and Grant No. DMS-1709461 . Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2018",
month = feb,
day = "15",
doi = "10.1016/j.topol.2017.12.006",
language = "English (US)",
volume = "235",
pages = "290--338",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",
}