分野別セミナー

Let p be a rational prime, k be a perfect field of
characteristic p, W=W(k) be the ring of Witt vectors,
K be a finite totally ramified extension of Frac(W) of degree e and r be a non-negative integer satisfying r In this talk, we prove the upper numbering ramification group
G^(j) (a la Fontaine) for j>1+e(1+r/(p-1)) acts trivially
on the mod p representations associated to the p-adic semi-stable
G_K-representations with Hodge-Tate weights in {0,...,r}.