Quasar Image Shifts due to Gravitational Microlensing

Gravitational microlensing of quasars by stars in external galaxies can introduce fluctuations in the centroid of the ``point-like'' macro--images. The induced shifts are extremely small, on micro--arcsecond scales, below the limits of current optical observations. However, such shifts will become measurable with the proposed ``Space Interferometry'' mission, due to fly in 2005. The degree of the centroid shifts and their application as probes of both quasar structure and the stellar mass function in the lensing galaxy are discussed