Groups and Dynamics Seminar
Date: March 6, 2019
Time: 3:00PM - 4:00PM
Location: BLOC 628
Speaker: Brian Simanek, Baylor
Title: Spectral Theory of Graph Laplacians and Orthogonal Polynomials
Abstract: Our main object of interest is the spectrum of the discrete Laplacian on the Cayley graph of the Lamplighter Group. We will show how the spectral theory of orthogonal polynomials is relevant to the determination of this spectrum and present some calculations that provide new examples of spectral phenomena. Based on joint work with R. Grigorchuk.