  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
commutative ring spectra, concentrated in chromatic layers 2 and above,
associated to certain n by n invertible matrices with coefficients in Witt
rings. 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.
