Peter Marek

collaborators

2 papers

math.AT2024

Stable comodule deformations and the synthetic Adams-Novikov spectral sequence

J. Francis Baer, Maxwell Johnson, Peter Marek

We study the Adams-Novikov spectral sequence in $F_{p}$ -synthetic spectra, computing the synthetic analogs of $BP$ and its cooperations to identify the synthetic Ad…

math.AT2022

$H F_{2}$ -synthetic homotopy groups of topological modular forms

Peter Marek

To any Adams-type spectrum $E$ , Pstrągowski produced a symmetric monoidal stable $\infty$ -category $S y n_{E}$ whose objects are, in a sense, ''formal Adams spectral sequences''. $Syn_…

Stable comodule deformations and the synthetic Adams-Novikov spectral sequence

HF2​-synthetic homotopy groups of topological modular forms

$H F_{2}$ -synthetic homotopy groups of topological modular forms