Research-Prismatic cohomololgy and improvement on Breuil-Caruso theory

Research

Algebra & Combinatorics Seminar

Prismatic cohomololgy and improvement on Breuil-Caruso theory

Speaker: Tong Liu (Purdue University)
Time: Dec 17, 2020, 09:30-10:30
Location: Zoom ID：967 0794 0066 ; Passcode: 264901

Abstract

Kisin module is a powerful tool in p-adic Hodge theory to understand reduction of crystalline representation. Prismatic cohomology can be thought as a geometric realization of Kisin module, which is expected to provide better understanding for etale cohomology and other related cohomologies. In this talk, we exhibit a concrete example of such expectation: We use prismatic cohomlogy and (derived) de Rham cohomology to improve a classical result of Breuil and Caruso on comparison between torsion crystalline cohomology and torsion etale cohomology. This is joint work with Shizhang Li.