The m-z relation for type Ia supernovae, locally inhomogeneous cosmological models, and the nature of dark matter

This is my contribution to the proceedings of the 28th Texas Symposium on Relativistic Astrophysics held December 13—18, 2015, in Geneva, Switzerland. It is based on a paper about the general question of the influence of locally inhomogeneous cosmological models on the termination of cosmological parameters and one discussing what can be learned about the dark-matter distribution given the fact that the data seem to prefer a very homogeneous universe (with regard to most, i.e. dark, matter)