On the Drinfeld formal group
Abstract
We identify Drinfeld's formal group on the prismatization of Spf\,Zp 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 Spf\,Zp, and that it admits a certain algebraization conjectured by Drinfeld.
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