Eigenvalues of Schrödinger operators with complex valued potentials in $L^p$

I will speak on work of Rupert Frank and collaborators on eigenvalues of the Schrodinger operator consisting of the Laplacian on $R^d$ plus a complex valued, $L^p$ potential, and my work with Guillarmou and Krupchyk on a generalization to asymptotically conic manifolds.