A short introduction to the telescope and chromatic splitting conjectures
Algebraic Topology
2019-02-19 v2
Abstract
In this note, we give a brief overview of the telescope conjecture and the chromatic splitting conjecture in stable homotopy theory. In particular, we provide a proof of the folklore result that Ravenel's telescope conjecture for all heights combined is equivalent to the generalized telescope conjecture for the stable homotopy category, and explain some similarities with modular representation theory.
Keywords
Cite
@article{arxiv.1902.05046,
title = {A short introduction to the telescope and chromatic splitting conjectures},
author = {Tobias Barthel},
journal= {arXiv preprint arXiv:1902.05046},
year = {2019}
}
Comments
Accepted for publication in Surveys around Ohkawa's theorem on Bousfield classes. All comments welcome. v2: Corrected some typos