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Presenter: Guillaume Bal (University of Chicago)
Title: Asymmetric interface transport and topological insulators
Abstract: The surprising robustness to perturbation of the asymmetric transport observed along interfaces separating distinct insulating bulks affords a topological origin. This talk reviews a classification of partial differential operators modeling such systems. We establish a bulk-edge correspondence relating the quantized interface transport to the index of a Fredholm operator naturally associated to the insulating bulks. We also present a scattering theory that describes the interface transport more quantitatively. The theory is illustrated with examples of application in condensed matter physics and geophysics.