On the Drinfeld formal group

2024/03/05 by Manam, Deven · 1 citation
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2403.02555

Abstract

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

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