14 papers · 1 filter
On the derived Tate curve and global smooth Tate -theory
Jack Morgan Davies, Sil Linskens
The interplay between equivariant stable homotopy theory and spectral algebraic geometry is used to construct a derived Tate curve over , a lift of the classical…
An algebraic model for rational ultracommutative rings
William Balderrama, Jack Morgan Davies, Sil Linskens
Given a global equivariant ultracommutative ring spectrum and inclusion of finite groups, one may apply geometric fixed points to the norm $N_H^G E_H \to E…
Global 2-rings and genuine refinements
David Gepner, Sil Linskens, Luca Pol
We introduce the notion of a naive global 2-ring: a functor from the opposite of the -category of global spaces to presentably symmetric monoidal stable -categories…
Ambidextrous global spectra and tempered cohomology
William Balderrama, Jack Morgan Davies, Sil Linskens
We introduce generalizations of global equivariant spectra which encode globally equivariant cohomology theories equipped with additional transfers, such as the deflation maps pres…
Norms in equivariant homotopy theory
Tobias Lenz, Sil Linskens, Phil Pützstück
We show that the -category of normed algebras in genuine -spectra, as introduced by Bachmann-Hoyois, is modelled by strictly commutative algebras in -symmetric spectr…
Affineness and reconstruction in complex-periodic geometry
William Balderrama, Jack Morgan Davies, Sil Linskens
Working in a generic derived algebro-geometric context, we lay the foundations for the general study of affineness and local descendability. When applied to rin…