On prismatic cohomology and q-de Rham operators (II)

Speaker: Jingbang guo (SCMS)

Time: 2025-11-17 15:00-18:00
Location: 710, SIMIS

Abstract:

The prismatic cohomology, introduced first by Bhatt and Scholze, is a cohomology theory for p-adic formal schemes which can be specialized to many other cohomology theories.

In this talk, following Bhatt-Scholze and Bhatt-Lurie, the prismatic cohomology will be defined. We will illustrate by simple example the relation between the prismatic cohomology relative to a q-de Rham prism and the q-de Rham cohomlogy.

If time permits, we will also illustrate by simple example the method of studying absolute prismatic cohomlogy by a q-de Rham prism, and explain the general idea in terms of Hopf algebroids.

This talk is based on joint work with Ruochuan Liu and Guozhen Wang.