About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
Vadim Vologodsy, University of Chicago and HSE
Title: Sheared prismatization
Abstract: In their work on prismatic cohomology, Bhatt and Scholze constructed deformations of the category of modules with nilpotent integrable connection on p-adic varieties. Here the word ``nilpotent'' means that the p-curvature of the mod p reduction of the connection is locally nilpotent. I will explain how to extend the Bhatt-Scholze construction to all modules. As an application, I will indicate a proof of a conjecture by Peter Scholze on q-connections. If time permits, I will also describe some applications to p-adic Simpson correspondence.
The talk is based on a joint work in progress with Bhargav Bhatt, Artem Kanaev, Akhil Mathew, and Mingjia Zhang.