Abstract: In this talk, I will describe the spectrum of a non-self-adjoint version of the periodic Harper’s equation. One example of this is the so-called Scottish Flag Operator. A description of the spectrum relies on exact WKB methods to approximate solutions to analytic finite difference equations. I will motivate the study of such operators, describe the main ideas of the proof, and explain the exact WKB techniques that are used. This is joint work with Frédéric Klopp.

For further information please contact elisur.magrini@unibocconi.it