Christian Carrick

activity

20192023

most citedThe homological slice spectral sequence in motivic and Real bordism

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AT2023★ 1 cited

The homological slice spectral sequence in motivic and Real bordism

Christian Carrick, Michael A. Hill, Douglas C. Ravenel

For a motivic spectrum $E \in S H (k)$ , let $Γ (E)$ denote the global sections spectrum, where $E$ is viewed as a sheaf of spectra on $Sm_{k}$ . Voevodsky's slice filtr…

math.AT2021

Cofreeness in Real Bordism Theory and the Segal Conjecture

Christian Carrick

We prove that the genuine $C_{2^{n}}$ -spectrum $N_{C_{2}}^{C_{2^{n}}} M U_{R}$ is cofree, for all $n$ . Our proof is a formal argument using chromatic hypercubes and the Slice Th…

math.AT2019

Smashing Localizations in Equivariant Stable Homotopy

Christian Carrick

We study how smashing Bousfield localizations behave under various equivariant functors. We show that the analogs of the smash product and chromatic convergence theorems for the Re…