The standard problem of optical tomography is to obtain information about the optical properties of an object by making measurements on the boundary. Acousto-optic tomography is a variation of this problem where the object is perturbed by an acoustic field, and optical boundary measurements are taken as the parameters of the acoustic field vary. In this talk I'll give a short introduction to the idea of acousto-optic tomography, and discuss some inverse problems that arise from this imaging technique. In particular, I will describe some recent results for inverse problems derived from radiative transport models of acousto-optic tomography. This is joint work with John Schotland and Guillaume Bal.