Picard and Brauer groups of -local spectra via profinite Galois descent
I Mor - arXiv preprint arXiv:2306.05393, 2023 - arxiv.org
Using the pro\'etale site, we construct models for the continuous actions of the Morava
stabiliser group on Morava E-theory, its $\infty $-category of $ K (n) $-local modules, and its …
stabiliser group on Morava E-theory, its $\infty $-category of $ K (n) $-local modules, and its …
The inverse limit topology and profinite descent on Picard groups in -local homotopy theory
G Li, N Zhang - arXiv preprint arXiv:2309.05039, 2023 - arxiv.org
In this paper, we study profinite descent theory for Picard groups in $ K (n) $-local homotopy
theory through their inverse limit topology. Building upon Burklund's result on the …
theory through their inverse limit topology. Building upon Burklund's result on the …
Profinite Galois descent in K (h)-local homotopy theory
I Mor - 2024 - qmro.qmul.ac.uk
We investigate the category of K (h)-local spectra through the action of the Morava stabiliser
group. Using condensed mathematics, we give a model for the continuous action of this …
group. Using condensed mathematics, we give a model for the continuous action of this …
Galois descent and the rational homotopy of the K (n)-local Picard space
M Smith - 2024 - conservancy.umn.edu
Using a form of Galois descent, we construct a family of spectral sequences computingthe
homotopy groups of the Picard space Picn whose 0th homotopy group is the Picard group of …
homotopy groups of the Picard space Picn whose 0th homotopy group is the Picard group of …