Cosmology from projected large-scale structure: science and challenges

The last twenty years have seen a tremendous growth in the quantity, variety, and quality of multi-wavelength astronomical observations of the large-scale structure (LSS). Our ability to observe different properties of the same structures now offers LSS cosmology the ability to become a truly predictive science, by allowing us to self-consistently describe the complex astrophysical processes that pollute our observations together with the underlying simple fundamental physics we hope to extract. In this talk I will review current advances in our understanding of the LSS from the joint analysis of several different probes, as well as the observational, numerical, and modelling challenges that the field faces if we are to fully exploit forthcoming Stage-IV experiments.