4 papers
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…
Unstable synthetic deformations II: Infinitesimal extensions
William Balderrama, Piotr PstrÄ gowski
This paper is the second in a series devoted to the study of unstable synthetic deformations through the lens of Malcev theories: certain -categorical algebraic theories $\…
Unstable synthetic deformations I: Malcev theories
William Balderrama, Piotr PstrÄ gowski
This paper is the first in a series of articles devoted to the construction and study of synthetic deformations of -categories in the unstable context: that is, deformation…
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…