The prismatic site

Abstract: We will introduce the prismatic site and finally define the prismatic complex and the Hodge-Tate complex. We define the Hodge-Tate comparison map, which relates the Kähler differentials to the cohomology of the Hodge-Tate complex. Finally, we will introduce the Čech-Alexander complex, which computes the prismatic complex in the affine case.

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

algebraic geometrynumber theory

Audience: advanced learners

( slides )

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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.

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