Volume 14, issue 2 (2010)

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Structured ring spectra and displays

Tyler Lawson

Geometry & Topology 14 (2010) 1111–1127
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 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.

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