Cosmology and Cosmography with X-ray Galaxy Clusters / Dr Hans Boehringer (Max Planck Institute for Extraterrestrial Physics) Galaxy clusters as the largest clearly defined astronomical objects are powerful probes to characterise the large-scale structure of our Universe. In this way observations of the galaxy cluster population constitutes one of the few reliable probes that allow us to test cosmological models. Based on our large redshift survey of galaxy clusters detected in X-rays with the ROSAT satellite we obtain constraints of cosmological parameters in particular the mean matter density of the Universe and the amplitude parameter of the large-scale density fluctuations. In the talk these results will be discussed in the light of the general status of characterising the cosmological model that describes our Universe. We find in particular some tension between our results and those obtained through observations of the cosmic microwave background observed by Planck, if the data are interpretated within the standard Lambda-CMD model. This apparent discrepancy may hint at the influence of massive neutrinos allowing us to put constraints on the neutrino masses. We also use the cluster sample to study the matter distribution in the local Universe in a cosmographical fashion. One of the findings of this research is a locally underdense region in the Southern Sky, with interesting consequences for local measurements of the Hubble constant.