On the $\mathbb{Z}_p(i)$ of Bhatt-Morrow-Scholze

Abstract: I will explain a description of the $\mathbb{Z}_p(i)$ complexes defined by Bhatt-Morrow-Scholze, as an integral refinement of Fontaine-Messing syntomic cohomology, on a class of $p$-adic formal schemes (including regular noetherian ones and formally smooth schemes over perfectoids) satisfying the "Segal conjecture". This extends a number of comparison results in the literature. Joint with Bhargav Bhatt.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.