Power operations for Morava E-theory of height 2 at the prime 2

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arxiv 0812.1320 v1 pith:2DFTTHOC submitted 2008-12-06 math.AT

Charles Rezk This is my paper · ORCID

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keywords e-theorymoravaoperationspoweralgebraiccalculationsdetailedexplicit

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Explicit calculations of the algebraic theory of power operations for a specific Morava E-theory spectrum are given, without detailed proofs.

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Derived level structures in spectral algebraic geometry are representable, yielding Jacquet-Langlands spectra and a proposed Jacquet-Langlands dual of Morava E-theory.
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New explicit formulas for the additive C_2 power operations on the indecomposables of KU_0(BU), E_2[BU], and E_2[BSU] modulo decomposables, derived from the level-structure interpretation of power operations.