  We study inverse boundary problems for the advection diffusion equation on an
admissible manifold, i.e. a compact Riemannian manifold with boundary of
dimension $\ge 3$, which is conformally embedded in a product of the Euclidean
real line and a simple manifold. We prove the unique identifiability of the
advection term of class $H^1\cap L^\infty$ and of class $H^{2/3}\cap C^{0,1/3}$
from the knowledge of the associated Dirichlet-to-Neumann map on the boundary
of the manifold. This seems to be the first global identifiability result for
possibly discontinuous advection terms.
