PDE/Analysis Seminar

Name: PDE/Analysis Seminar
Start: 2026-10-20T19:00:00+00:00
End: 2026-10-20T20:00:00+00:00
Location: Building 4

Tuesday 20 October 2026, 15:00

Venue time (New York)

Building 4 · Directions

Tuesday 20 October 2026, 15:00Venue time (New York)

Tuesday 20 October 202615:00 · Venue time (New York)

Building 4Directions

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Speaker: Izak Oltman (Northwestern University)

Title: The Spectrum of the Discrete Mathieu Operator with Non-Real Coupling

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.