To Join Zoom Meeting:
https://us02web.zoom.us/j/82517283705?pwd=L2UvRjRuY1hPbGcwa0lmN1ZGRjVQQT09
Meeting ID: 825 1728 3705
Password: 526064
Speaker: Yichao Tian
Time: 17:00-18:00 Beijing time (12:00-13:00 Moscow time)
Abstract: Prismatic site of a p-adic formal scheme was introduced in the recent pioneer work of Bhatt—Scholze. It provides a uniform framework for various p-adic cohomology theories. Prismatic crystals are natural analogues of classical crystalline crystals on prismatic sites. In this talk, after reviewing some basic definitions of the prismatic site, I will discuss some basic properties of the cohomology of prismatic crystals on smooth p-adic formal schemes. The key ingredient is an explicit local description of (reduced) prismatic crystals in terms of Higgs modules.
Bio:Yichao Tian got his Ph. D. from University Paris in 2008. He is currently professor in the Morningside Center of Mathematics at Chinese Academy of Science. His main research fields are Arithmetic algebraic geometry: p-adic Hodge theory, Geometry of Shimura varieties in characteristic p > 0, p-divisible groups, and p-adic modular forms.
