Diana Barseghyan: Semiclassical bounds in magnetic bottles

The aim of the talk is to derive spectral estimates into several classes of magnetic systems. They include three-dimensional regions with Dirichlet boundary. We establish two-dimensional Berezin-Li-Yau and Lieb-Thirring- type bounds in the presence of magnetic fields and, using them, get three- dimensional estimates for the eigenvalue moments of the corresponding magnetic Laplacians.