On the Drinfeld formal group

Autor: Manam, Deven
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 32 pages
Databáze: arXiv