On differential modules associated to de Rham representations in the imperfect residue field case

par Prof. Shun OHKUBO (Université de Tokyo)

mercredi 16 janv. 2013, 10:00 → 11:00 Europe/Paris

Centre de conférences Marilyn et James Simons (IHES)

Let K be a CDVF of mixed characteristic (0,p) and G the absolute Galois group of K. When the residue field of K is perfect, Laurent Berger constructed a p-adic differential equation N_dR(V) for any de Rham representation V of G. In this talk, we will generalize his construction when the residue field of K is not perfect. We also explain some ramification properties of our N_dR , which are due to Adriano Marmora in the perfect residue field case.

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