When G is a real, reductive algebraic group and O is a semisimple coadjoint orbit for G satisfying an integrality condition and a regularity condition, Vogan and Zuckerman constructed a finite collection of irreducible, unitary representations that correspond to this orbit. In this talk, we will give geometric character formulas for these representations in terms of geometry closely related to the corresponding coadjoint orbit O in the case where the parameter is sufficiently regular. Special cases of this formula were previously obtained by Harish-Chandra and Kirillov when G is a compact group and by Duflo and Rossmann when O is a semisimple orbit of maximal dimension. This is joint work with Yoshiki Oshima.