Groups and Dynamics Seminar

Date: February 7, 2024

Time: 3:00PM - 4:00PM

Location: BLOC 123

Speaker: Wencai Liu, Texas A&M University

Title: An Invitation to Cocycle

Abstract: The cocycle is fundamentally important in the analysis of Schrodinger operators, serving as a bridge between dynamical systems tools and spectral theory. In this talk, I will introduce a variety of techniques for investigating both quasiperiodic and random Schrodinger operators. Topics covered will include the regularity of Lyapunov exponents and rotation numbers, the topological structure of the spectrum, and the non-uniform hyperbolicity of cocycles. If time permits, I will also discuss some open problems in the field.