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On the Drinfeld formal group
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abstract
We identify Drinfeld's formal group on the prismatization of $\mathrm{Spf}\,\mathbb{Z}_p$ with a formal group arising from homotopy theory, given locally by the Quillen formal group of a decompleted variant of topological periodic cyclic homology. We also prove that this formal group extends to the syntomization of $\mathrm{Spf}\,\mathbb{Z}_p$, and that it admits a certain algebraization conjectured by Drinfeld.
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Cited by 1 Pith paper
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Even periodization of spectral stacks
Even periodization of spectral stacks recovers the even filtration, the oriented elliptic curve moduli stack from TMF, the chromatic stack from the sphere, and a Nygaard-complete form of prismatization.
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