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Research Talk

Department of Mathematics

Aubry duality for unitary operators with applications to quantum walks

May 23, 2022 (Monday), 3:30 pm – 4:30 pm Teams

Prof. Darren.jpg

Darren Ong Chung Lee

Professor

Xiamen University Malaysia

Research interests: In spectral theory and mathematical physics

Speaker Introduction

Prof. Darren Ong Chung Lee received his PhD in Mathematics from Rice University in the United States. His research interests are in spectral theory and Mathematical Physics.

Abstract

Aubry Duality refers to a symmetry of some Schrodinger operators whereby a Fourier transform of an eigensolution of the operator is itself an eigensolution. In this talk we observe a form of Aubry Duality in some unitary operators connected to quantum walks. This talk is based on joint work with Chris Cedzich, Jake Fillman and Zhenghe Zhang.