12 papers
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…
Free algebras via monoidal envelopes
Max Blans, Sil Linskens
For any morphism of -operads , we show that the free -algebra on a -algebra admits an explicit formula as the colimit…
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…
Universality of span 2-categories and the construction of 6-functor formalisms
Bastiaan Cnossen, Tobias Lenz, Sil Linskens
Given an -category equipped with suitable wide subcategories , we show that the -category $\text{S}{\scriptstyle\text{PAN}}_2(C,E)_…
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…