The algebraic chromatic splitting conjecture for Noetherian ring spectra

Tobias Barthel; Drew Heard; Gabriel Valenzuela

doi:10.1007/s00209-018-2066-5

The algebraic chromatic splitting conjecture for Noetherian ring spectra

Tobias Barthel, Drew Heard^*, Gabriel Valenzuela

^*Corresponding author for this work

Department of Mathematical Sciences

3 Citations (Scopus)

Abstract

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

Original language	English
Journal	Mathematische Zeitschrift
Volume	290
Issue number	3-4
Pages (from-to)	1359-1375
Number of pages	17
ISSN	0025-5874
DOIs	https://doi.org/10.1007/s00209-018-2066-5
Publication status	Published - 2018

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title = "The algebraic chromatic splitting conjecture for Noetherian ring spectra",

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

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AU - Heard, Drew

AU - Valenzuela, Gabriel

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

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DO - 10.1007/s00209-018-2066-5

M3 - Journal article

AN - SCOPUS:85048058425

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VL - 290

SP - 1359

EP - 1375

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

The algebraic chromatic splitting conjecture for Noetherian ring spectra

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