Title: Dark Matter in the Draco and Ursa Minor Dwarf Spheroidals Jan Kleyna University of Cambridge Abstract: The Local Group dwarf spheroidal galaxies (dSphs) appear to be among the most dark matter dominated systems known, some having a mass to light ratio M/L>100. Stars moving inside a dSph are essentially tracers of a pure dark matter potential, and dSph stellar kinematics provides a unique window to study the shape of very low mass dark haloes. In this talk, we present recent multifiber velocity measurements of giant stars inside the Draco and Ursa Minor dSphs, and discuss the implications for their halo mass and shape (cusp vs. core).