Shun Ohkubo (Université de Tokyo)

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

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.

On differential modules associated to de Rham representations in the imperfect residue field case - Shun Ohkubo par Ihes_science