The congruence criterion for power operations in morava E-theory

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Abstract

We prove a congruence criterion for the algebraic theory of power operations in Morava E-theory, analogous to Wilkerson's congruence criterion for torsion free λ-rings. In addition, we provide a geometric description of this congruence criterion, in terms of sheaves on the moduli problem of deformations of formal groups and Frobenius isogenies.

Original languageEnglish (US)
Pages (from-to)327-379
Number of pages53
JournalHomology, Homotopy and Applications
Volume11
Issue number2
DOIs
StatePublished - 2009

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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