Special Session 161: DYNAMICS AND SPECTRUM OF QUASIPERIODIC SCHRODINGER OPERATORS

On Floquet and Fermi Isospectrality
Matthew Faust
Michigan State University
USA
Co-Author(s):    
Abstract:
In this talk we will discuss some recent progress on regarding the study of Fermi and Floquet isospectrality for discrete periodic Schr\odinger operators. We focus our discussion on various recently proven rigidity theorems regarding Fermi and Floquet isospectrality for the discrete Laplacian on Z^d with nearest neighbor edges. This talk will focus on two recent works of the author, one with Brysiewicz and Liu, and another with Cobb and Kretschmer.