# The algebraic chromatic splitting conjecture for Noetherian ring spectra

The algebraic chromatic splitting conjecture for Noetherian ring spectra We formulate a version of Hopkins’ chromatic splitting conjecture for an arbitrary structured ring spectrum R, and prove it whenever $$\pi _*R$$ π ∗ R is Noetherian. As an application, these results provide a new local-to-global principle in the modular representation theory of finite groups. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

# The algebraic chromatic splitting conjecture for Noetherian ring spectra

, Volume 290 (4) – Jun 5, 2018
17 pages

/lp/springer_journal/the-algebraic-chromatic-splitting-conjecture-for-noetherian-ring-2dfjz4F4g3
Publisher
Springer Journals
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
D.O.I.
10.1007/s00209-018-2066-5
Publisher site
See Article on Publisher Site

### Abstract

We formulate a version of Hopkins’ chromatic splitting conjecture for an arbitrary structured ring spectrum R, and prove it whenever $$\pi _*R$$ π ∗ R is Noetherian. As an application, these results provide a new local-to-global principle in the modular representation theory of finite groups.

### Journal

Mathematische ZeitschriftSpringer Journals

Published: Jun 5, 2018

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