Abstract: We will present an approach to the construction of Breuil-Kisin modules using crystalline cohomology. Along the way, we will define a new PD-base for crystalline cohomology that improves in some respects upon the ring S used by Breuil and Faltings in their appraoch to integral p-adic Hodge theory.
The seminar is preceded by the Study Groups which this term are on deformation rings, and Arthur’s conjectures.