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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.
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