Prescription de la multiplicit\'e des valeurs propres du laplacien de   Hodge-de Rham
  On any compact manifold of dimension greater than 6, we prescribe the volume and any finite part of the spectrum Hodge Laplacian acting on $p$-form for $1\leq p<\frac n2$. In particular, we prescribe the multiplicity of the first eigenvalues. 
Pierre Jammes