5 papers · 1 filter
A Deep Dive Into the Tangent Category of Schemes
Geoff Vooys
In this largely expository paper we provide a deep and explicit exploration and exposition of the tangent structure on the category of schemes whose tangent fun…
On the Equivariant Derived Category of Perverse Sheaves
Geoff Vooys
In this paper we extend Beilinson's realization formalism for triangulated categories and filtered triangulated categories to a pseudofunctorial and pseudonatural setting. As a con…
Categories of Pseudocones and Equivariant Descent
Geoff Vooys
In this monograph we provide an in-depth and systematic study of pseudolimits of pseudofunctors in the -category of categories where $\ma…
Equivariant Functors and Sheaves
Geoff Vooys
In this thesis we study two main topics which culminate in a proof that four distinct definitions of the equivariant derived category of a smooth algebraic group acting on a va…
The Greenberg Functor is Site Cocontinuous
Geoff Vooys
In this paper we show that it is possible to define a topology on the category of formal schemes over a ring of -adic integers such that the left adjoint of the Greenberg Transf…