Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics
stripes SFB701

Project B5

Algebraic geometry, cohomology and abelian varieties


Principal Investigator(s) Other Investigators
Thomas Zink
Li Ma

Summary:

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.

Recent Preprints:

12059 Extensions of group schemes of $\mu$-type by a constant group scheme PDF | PS.GZ
12058 Étale subquotients of prime torsion of abelian schemes PDF | PS.GZ
12057 Modularity of abelian varieties over Q with bad reduction in one prime only PDF | PS.GZ
08090 Infinitesimal deformation of ultrametric differential equations PDF | PS.GZ
08067 Breuil's classification of p-divisible groups over regular local rings of arbitrary dimension PDF | PS.GZ
08066 Overconvergent de Rham-Witt Cohomology PDF | PS.GZ
08065 Overconvergent Witt Vectors PDF | PS.GZ
08007 Arithmetic and Differential Swan conductors of rank one representations with finite local monodromy. PDF | PS.GZ
07015 Del Pezzo surfaces of degree 1 and jacobians PDF | PS.GZ
06062 p-Adic Confluence of q-Difference Equations PDF | PS.GZ