Planetary nebulae (PNe) have the potential to revolutionize our understanding
of extragalactic stellar populations. Indeed, in many systems, bright PNe are
the only individual objects identifiable from the ground, and, even more often,
they are the only stars that are amenable to spectroscopy. We review the ways
in which ensembles of PNe can be used to probe the metallicity, age, and
history of a stellar population. In particular, we discuss three cases: the
weak line spectroscopic regime, where one has knowledge of the line-strengths
of faint forbidden lines such as [O III] 4363, a bright-line regime, where only
the strongest emission lines are visible, and the photometric regime, where the
only information available is the [O III] 5007 luminosity function. We show
that each of these cases, when properly calibrated, can provide unique insights
into the objects that make up a stellar population.Comment: 8 pages and 4 figures -- A contribution to IAU Symposium #234,
"Planetary Nebulae in Our Galaxy and Beyond", Waikoloa, Hawaii, April 3-7,
2006 -- Conference proceedings will be published by Cambridge University
Press (eds. M.J. Barlow & R.H. Mendez