Abstract: QCD Thermodynamics on the lattice : towards the continuum limit

I am going to discuss recent lattice calculations of the QCD transition at finite temperature and Equation of Sate using lattices with temporal extent Nt=8 from RBC-Bielefeld and HotQCD collaborations. I will show that the chiral and deconfinement transitions happen in the same temperature interval. I will also present new results of different spatial correlation functions relevant for the discussion of the fate of quarkonium states and microscopic picture of QGP.