Structured ring spectra and displays

We combine Lurie's generalization of the Hopkins-Miller theorem with work of Zink-Lau on displays to give a functorial construction of even-periodic E_∞ ring spectra E, concentrated in chromatic layers 2 and above, associated to certain n × n invertible matrices with coefficients in the Witt ring of π₀.(E). This is applied to examples related to Lubin-Tate and Johnson-Wilson spectra. We also give a Hopf algebroid presentation of the moduli of p-divisible groups of height greater than or equal to 2.