V. Drinfeld

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math.AG2026

On the Lau group scheme

Vladimir Drinfeld

In a 2013 article, Eike Lau constructed a canonical morphism from the stack of $n$ -truncated Barsotti-Tate groups over $F_{p}$ to the stack of $n$ -truncated displays. He also proved…

math.AG2024

A stacky approach to crystals

Vladimir Drinfeld

Inspired by a theorem of Bhatt-Morrow-Scholze, we develop a stacky approach to crystals and isocrystals on "Frobenius-smooth" schemes over F_p . This class of schemes goes back to…

math.AG2024

On Shimurian generalizations of the stack $B T_{1} \otimes F_{p}$

Vladimir Drinfeld

Let G be a smooth group scheme over $F_{p}$ equipped with a $G_{m}$ -action such that all weights of $G_{m}$ on the Lie algebra of G are not greater than 1. Let $D i s p_{n}^{G}$ be Eike Lau's s…

math.AG2024

Prismatization

Vladimir Drinfeld

The goal is to construct three related "prismatization" functors from the category of p-adic formal schemes to that of formal stacks. This should provide a good category of coeffic…

On the Lau group scheme

A stacky approach to crystals

On Shimurian generalizations of the stack BT1​⊗Fp​

Prismatization

On Shimurian generalizations of the stack $B T_{1} \otimes F_{p}$