(Proposal ID) S14A-001 (PI) Smith, Russell (Proposal Title) The IMF and sodium abundance trends in passive Coma Cluster galaxies (Abstract) Recent spectroscopic studies have found evidence that the stellar initial mass function (IMF) in red-sequence galaxies may be quite different from that in the Milky Way. The most massive ellipticals show unexpectedly strong absorption lines associated with cool dwarf stars, apparently indicating that they have a very bottom-heavy IMF (e.g. a power law with slope x~3). However, there is an important caveat to these conclusions: All of the most widely-used IMF indicators (the Wing-Ford band, Na I doublet, Ca II triplet) are also affected by the abundance of sodium, which has not yet been accurately constrained from independent features. Do giant ellipticals really have very bottom-heavy IMFs, or are they really enriched in sodium, to levels as high as [Na/Fe]~+1.0, as required to fit a Milky Way IMF? Here, we propose spectroscopy with FMOS in the 1.1-1.4mum range, for a sample of 121 Coma Cluster galaxies, to measure new diagnostics which are sensitive to the IMF and to sodium independently. The same sample has been successfully observed with FMOS at shorter wavelengths. The proposed observations will break the IMF/sodium degeneracy and cleanly determine the variation of IMF with galaxy mass, metallicity and Mg/Fe ratio. [Re-application for cancelled 13A run]