Prismatic F-crystal and lattice in crystalline representation

Abstract: In this talk, I will explain a theorem of Bhatt-Scholze: the equivalence between prismatic $F$-crystal and $\mathbb Z_p$-lattices inside crystalline representation, and how to extend this theorem to allow more general types of base ring like Tate algebra ${\mathbb Z}_p \langle t^{\pm 1}\rangle$. This is a joint work with Heng Du, Yong-Suk Moon and Koji Shimizu.

This is a talk in integral $p$-adic Hodge theory. So in the pre-talk, I will explain the motivations and base ideas in integral $p$-adic Hodge theory.

number theory

Audience: researchers in the topic

Comments: online only; pre-talk at 1:30

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UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.

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