an:06954712
Zbl 06954712
Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel
The algebraic chromatic splitting conjecture for Noetherian ring spectra
EN
Math. Z. 290, No. 3-4, 1359-1375 (2018).
00416538
2018
j
55P
Summary: We formulate a version of Hopkins' chromatic splitting conjecture for an arbitrary structured ring spectrum \(R\), and prove it whenever \(\pi_*R\) is Noetherian. As an application, these results provide a new local-to-global principle in the modular representation theory of finite groups.