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The overlap between the spectroscopic Galactic Archaeology with HERMES(GALAH) survey & $Gaia$ provides a high-dimensional chemodynamical space ofunprecedented size. We present a first analysis of a subset of this overlap, of7066 dwarf, turn-off, & sub-giant stars. [...] We investigate correlationsbetween chemical compositions, ages, & kinematics for this sample. Stellarparameters & elemental abundances are derived from the GALAH spectra with thespectral synthesis code SME. [...] We report Li, C, O, Na, Mg, Al, Si, K, Ca,Sc, Ti, V, Cr, Mn, Co, Ni, Cu, Zn, Y, as well as Ba & we note that we employnon-LTE calculations for Li, O, Al, & Fe. We show that the use of astrometric &photometric data improves the accuracy of the derived spectroscopic parameters,especially $\log g$. [...] we recover the result that stars of thehigh-$\alpha$ sequence are typically older than stars in the low-$\alpha$sequence, the latter spanning $-0.7<$[Fe/H]$<+0.5$. While these two sequencesbecome indistinguishable in [$\alpha$/Fe] vs. [Fe/H] at the metal-rich regime,we find that age can be used to separate stars from the extended high-$\alpha$& the low-$\alpha$ sequence even in this regime. [...] we find that the oldstars ($>8$ Gyr have lower angular momenta $L_z$ than the Sun, which impliesthat they are on eccentric orbits & originate from the inner disk. Contrary tosome previous smaller scale studies we find a continuous evolution in thehigh-$\alpha$-sequence up to super-solar [Fe/H] rather than a gap, which hasbeen interpreted as a separate "high-$\alpha$ metal-rich" population. Stars inour sample that are younger than 10 Gyr, are mainly found on the low$\alpha$-sequence & show a gradient in $L_z$ from low [Fe/H]($L_z>L_{z,\odot}$) towards higher [Fe/H] ($L_z<L_{z,\odot}$), which impliesthat the stars at the ends of this sequence are likely not originating from theclose solar vicinity.

The GALAH survey: An abundance, age, and kinematic inventory of the solar neighbourhood made with TGAS