Virginie Bonnaillie-Noël: Schrödinger operator in planar domains with corners and in the half-space

To determine the influence of the geometry on the superconductivity, we have to determine the low-lying eigenvalues of a semi-classical Schrödinger operator and the spectrum of some model operators. In this talk, we recall some results about the domains with corners in the plane and show that the corners have a strong influence. Then, we study a first simple model in 3D to analyze the influence of the orientation of the magnetic field in the half-space.