5 papers
The topological nilpotence degree of a Noetherian unstable algebra
Drew Heard
We investigate the topological nilpotence degree, in the sense of Henn-Lannes-Schwartz, of a connected Noetherian unstable algebra . When is the mod cohomology ring of a…
Local Gorenstein duality for cochains on spaces
Tobias Barthel, Natalia Castellana, Drew Heard +1
We investigate when a commutative ring spectrum satisfies a homotopical version of local Gorenstein duality, extending the notion previously studied by Greenlees. In order to d…
Depth and detection for Noetherian unstable algebras
Drew Heard
For a connected Noetherian unstable algebra over the mod Steenrod algebra, we prove versions of theorems of Duflot and Carlson on the depth of , originally proved when $…
Derived completion for comodules
Tobias Barthel, Drew Heard, Gabriel Valenzuela
The objective of this paper is to introduce and study completions and local homology of comodules over Hopf algebroids, extending previous work of Greenlees and May in the discrete…
On equivariant and motivic slices
Drew Heard
Let be a field with a real embedding. We compare the motivic slice filtration of a motivic spectrum over with the -equivariant slice filtration of its equivarian…