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Analysis Seminar

Thursday, January 24, 2019 - 3:00pm

Alexis Drouot

Columbia University


University of Pennsylvania


I will study propagation of waves in a honeycomb structure with a line defect. In a perturbative regime, I will give a full description of  edge states (time harmonic waves propagating along the line defect). I  will then interpret the result topologically via the proof of an  index-like theorem: the bulk edge correspondence. This extends previous results of Fefferman, Lee-Thorp and Weinstein.