Relative Fontaine-Messing theory over power series rings

Abstract: Let k be a perfect field of char p > 2. For a smooth proper scheme over W(k), Fontaine-Messing theory gives a nice way to compare its torsion crystalline cohomology H^i_cris and torsion etale cohomology H^i_et when i < p-1. We will explain how one can generalize Fontaine-Messing theory in the relative setting over power series rings, and discuss some applications. This is joint work with Tong Liu and Deepam Patel.

number theory

Audience: researchers in the topic

University of Arizona Algebra and Number Theory Seminar