The Seminar presents a selection of recent advances in the current mathematical research driven primarily by models and emergent effects from condensed matter and ultra-cold atoms physics, statistical physics, and theoretical physics. This involves methods and tools from functional analysis, PDE, and operator theory, and in particular: quadratic forms, spectral and scattering theory, non-linear and dispersive PDEs, singular perturbations of elliptic differential operators, self-adjoint extension theory, scaling and kinetic limits, C*-algebraic formulation of Quantum Mechanics, semi-classical analysis, numerics, and topological and geometrical methods for solid state physics.

Date | Speaker | Seminar |

October 29 | Pavel Exner (Rome Tor Vergata) | Schrödinger operators exhibiting a parameter-dependent spectral transition. |

October 10 | Antti Knowles (ETH Zurich) | Local eigenvalue statistics for random regular graphs |