(Proposal ID) S11B-079 (PI) Nagao, Tohru (Proposal Title) Assessing the Fundamental-Metallicity Relation of Galaxies and Its Evolution (Abstract) The galaxy mass-metallicity relation and its redshift evolution have been extensively studied in these years since they give strong constraints on the galaxy evolutionary scenarios. Recently it is proposed that there is a fundamental relation among the metallicity, stellar mass, and SFR (the fundamental metallicity relation; FMR). Interestingly, high-z galaxies up to z ~ 2.5 follow the same FMR defined by SDSS galaxies without any evidence of the redshift evolution, although the sample size of galaxies (whose SFR, mass, and metallicity are accurately measured) at high redshifts is quite small. Here we propose an FMOS observation to measure the gas metallicity of galaxies at 0.8 < z < 1.6 in the COSMOS field, where the SEDs of galaxies are extremely well observed thanks to the 30 bands imaging observations and thus the mass and SFR (and also the presence of AGNs) are well determined. Based on this observation, we examine whether or not the significant chemical evolution occurred in galaxies between 0 < z < 1.6 through the FMR, based on the statistically large sample of galaxies (~170 objects) with a reliable mass and SFR information.