Structured ring spectra and displays

Lawson, Tyler

doi:10.2140/gt.2010.14.1111

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Structured ring spectra and displays

Tyler Lawson

Geometry & Topology 14 (2010) 1111–1127

DOI: 10.2140/gt.2010.14.1111

Abstract

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 $E_{\infty}$ ring spectra $E$ , concentrated in chromatic layers $2$ and above, associated to certain $n \times n$ invertible matrices with coefficients in the Witt ring of $π_{0} (E)$ . 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 $2$ .

Keywords

structured ring spectrum, p-divisible group, display

Mathematical Subject Classification 2000

Primary: 55P42

Secondary: 55N22, 55P43, 14L05

References

Publication

Received: 21 January 2010

Revised: 17 February 2010

Accepted: 18 March 2010

Published: 13 April 2010

Proposed: Paul Goerss

Seconded: Haynes Miller, Bill Dwyer

Authors

Tyler Lawson
Department of Mathematics University of Minnesota 206 Church Street SE Minneapolis, MN 55455

Volume 14, issue 2 (2010)