  The observed microlensing events towards the LMC do not have yet a coherent
explanation. If they are due to Galactic Halo objects, the nature of these
objects is puzzling --- half the halo in dark 0.5 Msol objects. On the other
hand, traditional models of the LMC predict a self-lensing optical depth about
an order of magnitude too low, although characteristics of some of the observed
events favor a self-lensing explanation. We present here two models of the LMC
taking into account the correlation between the mass of the stars and their
velocity dispersion: a thin Mestel disk, and an ellipsoidal model. Both yield
optical depths, event rates, and event duration distributions compatible with
the observations. The grounds for such models are discussed, as well as their
observational consequences.
