On differential modules associated to de Rham representations in the imperfect residue field case
(Université de Tokyo)
Centre de conférences Marilyn et James Simons (IHES)
Centre de conférences Marilyn et James Simons
Le Bois Marie
35, route de Chartres
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 NdR(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 NdR , which are due to Adriano Marmora in the perfect residue field case.