The bulk-edge correspondence is a general principle that says that properties of the interior (bulk) of a matter are reflected in properties of the boundary (edge). Such properties can be very different, a famous example being topological insulators, where the interior behaves as an electrical insulator while its surface is an electrical conductor. There have been suggested several mathematical frameworks aiming to rigorously describe such phenomena. The goal of the project would be to explore one, or possibly some, of them, depending on the background and interests of the student.
Prerequisite knowledge: