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We perform a deep search for galaxies in the redshift range 6.5<z<7.5, tomeasure the evolution of the number density of luminous galaxies in thisredshift range and derive useful constraints on the evolution of theirLuminosity Function. We present here the first results of an ESO Large Program,that exploits the unique combination of area and sensitivity provided in thenear-IR by the camera Hawk-I at the VLT. We have obtained two Hawk-I pointingson the GOODS South field for a total of 32 observing hours, covering ~90arcmin2. The images reach Y=26.7 mags for the two fields. We have used publicACS images in the z band to select z-dropout galaxies with the colour criteriaZ-Y>1, Y-J<1.5 and Y-K<2. The other public data in the UBVRIJHK bands are usedto reject possible low redshift interlopers. The output has been compared withextensive Monte Carlo simulations to quantify the observational effects of ourselection criteria as well as the effects of photometric errors. We detect 7high quality candidates in the magnitude range Y=25.5-26.7. This intervalsamples the critical range for M* at z>6 (M_1500 ~- 19.5 to -21.5). Afteraccounting for the expected incompleteness, we rule out at a 99% confidencelevel a Luminosity Function constant from z=6 to z=7, even including theeffects of cosmic variance. For galaxies brighter than M_1500=-19.0 we derive aluminosity density rho_UV=1.5^{+2.0}_{-0.9} 10^25 erg/s/Hz/Mpc3, implying adecrease by a factor 3.5 from z=6 to z~6.8. On the basis of our findings, wemake predictions for the surface densities expected in future surveys surveys,based on ULTRA-VISTA, HST-WFC3 or JWST-NIRCam, evaluating the bestobservational strategy to maximise their impact.

Evidence for a fast evolution of the UV luminosity function beyond redshift 6 from a deep HAWK-I survey of the GOODS-S field