Notes on $δ$-algebras and prisms in homotopy theory
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916103164264448 |
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| author | Morava, Jack |
| author_facet | Morava, Jack |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_12336 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Notes on $δ$-algebras and prisms in homotopy theory Morava, Jack Algebraic Topology 55S25, 14L05 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. |
| title | Notes on $δ$-algebras and prisms in homotopy theory |
| topic | Algebraic Topology 55S25, 14L05 |
| url | https://arxiv.org/abs/2401.12336 |