Printable PDF
Department of Mathematics,
University of California San Diego


Math 209 - Number Theory Seminar

Tong Liu

Purdue University

Prismatic F-crystal and lattice in crystalline representation


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.

January 13, 2022

2:00 PM

Pre-talk at 1:30 PM

APM 6402 and Zoom;