Ahmed Abbes
The p-adic Simpson correspondence and the torsor of deformations
Abstract:
I will introduce a new approach for the p-adic Simpson correspondence, closely related to Faltings's original approach, and inspired by the work of Ogus and Vologodsky. I will first explain the construction for affine schemes. Then I will develop some global aspects of the theory. The general construction is obtained from the affine case by a gluing technique that turns out to contain unexpected difficulties.
This is a joint work with Michel Gros.