Algebra and Number Theory Seminar
Questions or comments?
Posted August 21, 2020
3:10 pm - 4:00 pm Zoom
C. Douglas Haessig, University of Rochester
TBA
Harmonic Analysis Seminar
Abstract and additional information
Posted August 22, 2020
Last modified September 14, 2020
Stephen Shipman, Mathematics Department, LSU
Introduction to Fourier analysis for Z^d and applications
The aim of my talks is to develop the Fourier analysis underlying the study of periodic operators; to show how the theory is applied to phenomena of crystal-type structures in solid-state physics; and to indicate the kinds of problems of interest today. The first talk will concentrate on the Fourier analysis for actions of Z^d and its finite-index extensions. The second talk will delve into aspects of the spectrum of periodic operators and their perturbations, including continuous pre-fractal and fractal continuous spectrum; and eigenvalues embedded in the continuum. The third talk will continue with topics of current interest, such as Dirac cones in graphene, multi-layer structures, Berry phase, twisted bi-layer graphene, etc.