The Age problem: Is our Galaxy older than the Universe?

For almost 70 years, since Hubble's discovery that the Universe is expanding, there has been a constant tension between the age of the Universe, as determined from the Hubble expansion, and the age as determined from stellar evolution estimates of our galaxy. I will describe the issues and the current status of this controversy, including new results stemming from the Hipparcos satellite measuring parallaxes of nearby stars which suggest that for the first time in recent memory the lower limit on the age of the universe based on globular cluster ages may be in accord with the upper limit obtained from the Hubble constant, even for a flat, matter dominated universe. I will briefly outline the cosmological implications of these results.