A dimension formula for Ekedahl-Oort strata
  We study the Ekedahl-Oort stratification on moduli spaces of PEL type. The strata are indexed by cosets in a Weyl group. The main result of this paper is that the dimension of a stratum equals the length of the corresponding Weyl group element. We also discuss some explicit examples. 
Ben Moonen (Univ. of Amsterdam)