Distinguished elements and prisms

Abstract: Given a divided power ring $(A,I)$, the crystalline site is defined using divided power thickenings over $(A,I)$. Analogously, given a prism $(A,I)$, the prismatic site is defined using "prismatic thickenings" over $(A,I)$. The goal of this talk is to define prisms and develop their basic properties.

References: Lecture III of Bhatt's notes. For more details, see the Bhatt-Scholze paper.

algebraic geometrynumber theory

Audience: advanced learners

( slides )

---

STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Spring 2024 topic: The contents of Serre, Lectures on the Mordell-Weil theorem

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

---