The anisotropic Calderon problem for fractional Schrodinger operators on closed Riemannian manifolds (Joint w/ IP seminar)

In this talk, we will discuss an analog of the anisotropic
Calderon problem for fractional Schrodinger operators on closed
Riemannian manifolds of dimension two and higher. We will demonstrate
that the knowledge of a Cauchy data set of solutions to the fractional
Schrodinger equation, given on an open nonempty subset of the
manifold, determines both the Riemannian manifold up to an isometry
and the potential up to the corresponding gauge transformation, under
certain geometric assumptions on the manifold as well as the
observation set. This is joint work with Ali Feizmohammadi and Gunther
Uhlmann.