Christian Carrick

activity

20232025

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.AT2025

Slice spectral sequences through synthetic spectra

Christian Carrick

We define a $t$ -structure on the category of filtered $G$ -spectra such that for a Borel $G$ -spectrum $X$ the slice filtration of $X$ is the connective cover of the homotopy fixed-p…

math.AT2024

On MU-homology of connective models of higher Real K-theories

Christian Carrick, Michael A. Hill

We use the slice filtration to study the $M U$ -homology of the fixed points of connective models of Lubin--Tate theory studied by Hill--Hopkins--Ravenel and Beaudry--Hill--Shi--Zeng…

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…