EVENT DETAILS AND ABSTRACT

Title: Frobenius height of prismatic cohomology with coefficients
Speaker: Haoyang Guo
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

In complex geometry, it is known that the i-th cohomology of a variation of Hodge structures on a smooth projective complex variety has the weight increased by at most i. In this talk, we consider the mixed characteristics analogue of this fact. We show that the Frobenius height of the i-th relative prismatic cohomology of a prismatic F-crystal behaves the same. This is joint work with Shizhang Li.