|Prof. Maxim Korolev||Steklov Mathematical Institute, Moscow State University|
Bio: Maxim Korolev is a Professor of the Russian Academy of Sciences. He has recieved the Vinogradov Prize of the Russian Academy of Sciences in 2019.
What we know and what we do not know about the zeros of Riemann.
In the talk, we will discuss from different points of view the connection between quite "transcendental" objects, that is, between zeros of the Riemann zeta-function, and purely arithmetic objects, that is, prime numbers.
|Yichao Tian||Morningside Center of Mathematics at Chinese Academy of Science|
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.
Finiteness and Duality for the Cohomology of Prismatic Crystals.
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.
The meeting will be held in the form of a webinar on the Zoom platform.
Pre-registration for the event is not required.
To join Zoom meeting（You can join in the meeting without a phone number):
Meeting ID : 825 1728 3705