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 af dette arbejde

Institut for Matematiske Fag

3 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Mathematische Zeitschrift
Vol/bind	290
Udgave nummer	3-4
Sider (fra-til)	1359-1375
Antal sider	17
ISSN	0025-5874
DOI	https://doi.org/10.1007/s00209-018-2066-5
Status	Udgivet - 2018

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10.1007/s00209-018-2066-5

https://arxiv.org/pdf/1608.03795.pdfLicens: Andet

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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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U2 - 10.1007/s00209-018-2066-5

DO - 10.1007/s00209-018-2066-5

M3 - Journal article

AN - SCOPUS:85048058425

SN - 0025-5874

VL - 290

SP - 1359

EP - 1375

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

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The algebraic chromatic splitting conjecture for Noetherian ring spectra

Abstract

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