Groups and Dynamics Seminar

Date: October 11, 2017

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Rostislav Grigorchuk, Texas A&M

Title: On spectra of groups of intermediate growth

Abstract: I will explain how to compute the spectrum of the discrete Laplacian on a Cayley graph of the group of intermediate growth constructed by me in 1980 (joint result with A.Dudko). Also, the case of the so called overgroup of intermediate growth will be discussed. The arguments will be based on a combination of results from algebra, representation theory, graph theory and classical harmonic analysis. This talk is intended to be easy for the audience, and everything will be quite elementary. The talk could also be considered as a preparation for a second, more advanced future talk of the speaker at GD seminar.