The chromatic filtration of the Burnside category
Algebraic Topology
2020-02-19 v1 Group Theory
Representation Theory
Abstract
The Segal map connects the Burnside category of finite groups to the stable homotopy category of their classifying spaces. The chromatic filtrations on the latter can be used to define filtrations on the former. We prove a related conjecture of Ravenel's in some cases, and present counterexamples to the general statement.
Keywords
Cite
@article{arxiv.2002.04877,
title = {The chromatic filtration of the Burnside category},
author = {Markus Szymik},
journal= {arXiv preprint arXiv:2002.04877},
year = {2020}
}
Comments
28 pages