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Texas A&M University

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.