We prove that $ T (n+ 1) $-localized algebraic $ K $-theory satisfies descent for $\pi $-finite $
p $-group actions on stable $\infty $-categories of chromatic height up to $ n $, extending a …

In this paper, we study Azumaya algebras and Brauer groups in derived algebraic geometry.
We establish various fundamental facts about Brauer groups in this setting, and we provide …

We introduce a general theory of parametrized objects in the setting of ß–categories.
Although parametrised spaces and spectra are the most familiar examples, we establish our …

If $ f: S'\to S $ is a finite locally free morphism of schemes, we construct a symmetric
monoidal" norm" functor $ f_\otimes:\mathcal H_*(S')\to\mathcal H_*(S) $, where $\mathcal …

Using profinite Galois descent, we compute the Brauer group of the-local category relative to
Morava E-theory. At odd primes this group is generated by a cyclic algebra formed using any …

We study the notion of\emph {separable algebras} in the context of symmetric monoidal
stable $\infty $-categories. In the first part of this paper, we compare this context to that of …

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 …

Picard groups of higher real K-theory spectra at height p − 1 Page 1 Picard groups of higher
real K-theory spectra at height p − 1 Drew Heard, Akhil Mathew and Vesna Stojanoska …

We compute the Picard group of the category of K (2)–local module spectra over the ring
spectrum E h C 4, where E is a height 2 Morava E–theory and C 4 is a subgroup of the …

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 …