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arXiv · 1608.04702

Complex orientations for THH of some perfectoid fields

Jack Morava
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Abstract

This sketch argues that work of Hesselholt on the topological Hochschild homology of $\Cp$ extends, using work of Scholze and others, to define complex orientations for a version of topological Hochschild homology for rings of integers in a natural class of generalized cyclotomic perfectoid fields; and that the resulting spectra provide geometrically interesting targets for analogs of the Chern character, defined for certain integral lifts of the extraordinary $K$-functors of chromatic homotopy theory.

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Jack Morava. 2016-08-16. Complex orientations for THH of some perfectoid fields. https://doi.org/10.1090/conm%2F729

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