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arxiv: 0912.5094 · v1 · pith:JRU6AGR6new · submitted 2009-12-27 · 🧮 math.AT

Structured ring spectra and displays

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keywords spectradisplaysgiveringabovealgebroidappliedassociated
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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.

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