Displaying similar documents to “Nilpotent connections and the monodromy theorem : applications of a result of Turrittin”

Travaux de Zink

William Messing (2005-2006)

Séminaire Bourbaki

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The diverse Dieudonné theories have as their common goal the classification of formal groups and p -divisible groups. The most recent theory is Zink’s theory of displays. A display over a ring R is a finitely generated projective module over the ring of Witt vectors, W ( R ) , equipped with additional structures. Zink has shown that using this notion, more concrete than those previously defined, one can obtain a good theory and prove an equivalence theorem in great generality. I will give an...

Nonabelian Hodge theory in characteristic p

A. Ogus, V. Vologodsky (2007)

Publications Mathématiques de l'IHÉS

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Given a scheme in characteristic together with a lifting modulo , we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules. We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with coefficients.