3 papers
math.AT2021
Localizations of Morava E-theory and deformations of formal groups
Paul VanKoughnett
We study the relationship between the transchromatic localizations of Morava -theory, , and formal groups. In particular, we show that the coefficient ring $π_0L_…
math.AT2019
On the -local homotopy of
Dominic Leon Culver, Paul VanKoughnett
As a step towards understanding the -based Adams spectral sequence, we compute the -local homotopy of , using a small presenta…
math.AT2019
Abstract Goerss-Hopkins theory
Piotr Pstrągowski, Paul VanKoughnett
We present an abstract version of Goerss-Hopkins theory in the setting of a prestable -category equipped with a suitable periodicity operator. In the case of the -c…