David Sobral(Leiden Observatory) Title:Exploring the z~0-9 Universe with the largest multi-narrow-band surveys Abstract: I will present the results from our deep and wide narrow-band surveys undertaken with CFHT, UKIRT, Subaru and the VLT; a unique combined effort to select large, robust samples of (mostly) H-alpha (Ha) emitters at z=0.40, 0.8, 0.84, 1.47 and 2.23 (corresponding to look-back times of 4.2, 7.0, 9.2 and 10.6 Gyrs) in a uniform manner over ~2-10 deg^2 in the COSMOS, UDS and SA22 fields. The deep Ha surveys are sensitive to Milky-Way SFRs out to z=2.2, while the very wide area and the coverage over different independent fields allow to greatly overcome cosmic variance. A total of >1000 sources per redshift are homogeneously selected and used to determine the star-formation rate and stellar mass functions (for star-forming galaxies) of the Universe and its evolution over the last 11 Gyrs. Our results reveal a strong evolution in the SFR function which is driven by a strong increase of the typical SFR (SFR*) from z~0 to z~2.23, and very little evolution in the mass function of star-forming galaxies, consistent with them having a similar M* since z~2. Both the shape and normalisation of our Ha star formation history are consistent with the measurements of the stellar mass density growth, confirming that our Ha analysis traces the bulk of the formation of stars in the Universe up to z~2.2. We are also exploring the large, multi-epoch and homogeneously selected samples of Ha emitters to conduct detailed dynamics, dust, clustering, environment and mass studies which are providing us with a unique view on the evolution of star-forming galaxies and what has been driving it since z~2.3. In particular, we show that apart from that strong increase in SFR* from low to high redshift, the properties of the overall star-forming population reveal a remarkable non-evolution in the last 11 billion years, and that most of the previously claimed evolutionary trends are a direct consequence of the typical SFRs of galaxies being much higher in the past. Finally, I will talk about our efforts in exploring our unique 10 deg^2 NB survey with CFHT to look for Lyman-alpha emitters at z=8.8 and show a handful of promising candidates.