Topos co-\'evanescents et g\'en\'eralisations
  This article is devoted to studying a topos introduced by Faltings for the purpose of $p$-adic Hodge theory. We present a new approach based on a generalisation of Deligne's co-vanishing topos. Along the way, we correct Faltings' original definition. 
Ahmed Abbes, Michel Gros
math.AG