  In this talk I review briefly theoretical models and ideas on quantum gravity
approaches entailing CPT violation. Then, I discuss various phenomenological
tests of CPT violation using neutrinos, arguing in favour of their superior
sensitivity as compared to that of tests using other particles, such as neutral
mesons, or nuclear and atomic physics experiments. I stress the fact that there
is no single figure of merit for CPT violation, and that the conclusions on
phenomenological sensitivities drawn so far are highly quantum-gravity-model
dependent.
