We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
We provide an overview of the author's recent paper, ``Equivariant Plateau problems'', where sufficient algebraic conditions are obtained for the existence of a realisition by a convex immersion of a homomorphism from a Fuchsian group into the fundamental group of a three dimensional compact manifold of strictly negative curvature.