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Algebraic chromatic homotopy theory for BPBP-comodules

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  • Tobias Barthel
  • Drew Heard

In this paper, we study the global structure of an algebraic avatar of the derived category of ind-coherent sheaves on the moduli stack of formal groups. In analogy with the stable homotopy category, we prove a version of the nilpotence theorem as well as the chromatic convergence theorem, and construct a generalized chromatic spectral sequence. Furthermore, we discuss analogs of the telescope conjecture and chromatic splitting conjecture in this setting, using the local duality techniques established earlier in joint work with Valenzuela.

OriginalsprogEngelsk
TidsskriftProceedings of the London Mathematical Society
Vol/bind117
Udgave nummer6
Sider (fra-til)1135-1180
ISSN0024-6115
DOI
StatusUdgivet - 2018

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