Groups and Dynamics Seminar
Date: September 11, 2019
Time: 3:00PM - 4:00PM
Location: BLOC 220
Speaker: Nguyen-Bac Dang, Stonybrook
Title: Spectral gap in the dynamical degrees of tame automorphism preserving an affine quadric threefold
Abstract: In this talk, I will present the tame automorphisms group preserving an affine quadric threefold. The main focus of my talk is the understanding of the degree sequences induced by the elements of this group. Precisely, I will explain how one can apply some ideas from geometric group theory in combination with valuative techniques to show that the values of the dynamical degrees of these tame automorphisms admit a spectral gap. Finally I will apply these techniques to study random walks on this particular group.