Notes on $\delta$-algebras and prisms in homotopy theory

Jack Morava

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arXiv · 2401.12336

Notes on $\delta$-algebras and prisms in homotopy theory

Jack Morava

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Abstract

J McClure's Dyer-Lashof operation in $p$-adic $K$-theory defines, in particular, a prismatic structure on the complex representation ring of the circle group. Work of Ando, Rezk, Stapleton, and others generalizes this to define a canonical lift of Frobenius for structured Lubin-Tate spectra. We suggest that recent work of K Ito and S Marks on $L$-typical prisms may extend this to local neighborhoods of the topological prime points $K(n)$ of the category of spectra.

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Jack Morava. 2024-01-22. Notes on $\delta$-algebras and prisms in homotopy theory. https://arxiv.org/abs/2401.12336

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