UBC Diff. Geom, Math. Phys. Seminar: Giuseppe De Nittis

The purpose of this talk is to explain how to describe the propagation of topological currents along magnetic interfaces (also known as magnetic walls) of a two-dimensional material using K-theory. We initially consider tight-binding magnetic models associated with generic magnetic multi-interfaces and we will describe the K-theoretical setting in which a bulk-interface duality can be derived. Then, we will focus on the (non trivial) case of the Iwatsuka magnetic field. The exposition is intended to be pedagogical and aimed at a non-specialist audience