Algebraic geometry, cohomology and abelian varieties
We study p-adic cohomology theories of algebraic varieties in characteristic p > 0 and their applications. We will further develop the theory of the de Rham-Witt complex and its variant for rigid cohomology. In particular we are interested in the display structure on the cohomology. As in the case of p-divisible groups the displays should form a bridge to p-adic étale cohomology. We will continue to study the implications of the theory of displays for abelian varieties and p-divisible groups.
This project continues the successful work of the project Crystalline cohomology and Abelian manifolds under the direction of and Thomas Zink.