On differential modules associated to de Rham representations in the imperfect residue field case
16 jan 2013 Shun OHKUBO ( Université de Tokyo ).
Centre de conférences Marilyn et James Simons ( IHÉS )
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.