Jean-Claude Cuenin

Spectral inequalities for Schrödinger operators with complex potentials

I will give a survey of recent results on the location and distribution of eigenvalues of Schrödinger (and related) operators with complex potentials. In particular, I will highlight the connection to so-called uniform Sobolev estimates and Fourier restriction theory. I will finish by discussing some open problems related to long-range potentials.