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.Comment: All comments welcom
