The algebraic chromatic splitting conjecture for Noetherian ring spectra
Algebraic Topology
2019-01-18 v3 Representation Theory
Abstract
We formulate a version of Hopkins' chromatic splitting conjecture for an arbitrary structured ring spectrum , and prove it whenever is Noetherian. As an application, these results provide a new local-to-global principle in the modular representation theory of finite groups.
Cite
@article{arxiv.1608.03795,
title = {The algebraic chromatic splitting conjecture for Noetherian ring spectra},
author = {Tobias Barthel and Drew Heard and Gabriel Valenzuela},
journal= {arXiv preprint arXiv:1608.03795},
year = {2019}
}
Comments
Final version to appear in Mathematische Zeitschrift