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We present measurements of the galaxy luminosity and stellar mass function ina 3.71 deg$^2$ (0.3 Mpc$^2$) area in the core of the Virgo cluster, based on$ugriz$ data from the Next Generation Virgo Cluster Survey (NGVS). The galaxysample consists of 352 objects brighter than $M_g=-9.13$ mag, the 50%completeness limit of the survey. Using a Bayesian analysis, we find a best-fitfaint end slope of $\alpha=-1.33 \pm 0.02$ for the g-band luminosity function;consistent results are found for the stellar mass function as well as theluminosity function in the other four NGVS bandpasses. We discuss theimplications for the faint-end slope of adding 92 ultra compact dwarfs galaxies(UCDs) -- previously compiled by the NGVS in this region -- to the galaxysample, assuming that UCDs are the stripped remnants of nucleated dwarfgalaxies. Under this assumption, the slope of the luminosity function (down tothe UCD faint magnitude limit, $M_g = -9.6$ mag) increases dramatically, up to$\alpha = -1.60 \pm 0.06$ when correcting for the expected number of disruptednon-nucleated galaxies. We also calculate the total number of UCDs and globularclusters that may have been deposited in the core of Virgo due to thedisruption of satellites, both nucleated and non-nucleated. We estimate that~150 objects with $M_g\lesssim-9.6$ mag and that are currently classified asglobular clusters, might, in fact, be the nuclei of disrupted galaxies. Wefurther estimate that as many as 40% of the (mostly blue) globular clusters inthe core of Virgo might once have belonged to such satellites; these samedisrupted satellites might have contributed ~40% of the total luminosity ingalaxies observed in the core region today. Finally, we use an updated LocalGroup galaxy catalog to provide a new measurement of the luminosity function ofLocal Group satellites, $\alpha=-1.21\pm0.05$.

astrophysical journal/the astrophysical journal

The Next Generation Virgo Cluster Survey (NGVS). XIII. The Luminosity  and Mass Function of Galaxies in the Core of the Virgo Cluster and the  Contribution from Disrupted Satellites