1. On the Drinfeld formal group
- Author
-
Manam, Deven
- Subjects
Mathematics - Algebraic Topology ,Mathematics - Algebraic Geometry ,Mathematics - Number Theory - 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., Comment: 32 pages
- Published
- 2024