Groups and Dynamics Seminar

Date: February 14, 2024

Time: 3:00PM - 4:00PM

Location: BLOC 123

Speaker: Wencai Liu, Texas A&M University

Title: Small denominators in quasi-periodic operators

Abstract: This presentation will explore two approaches for tackling the small denominators problem in the analysis of quasi-periodic Schrödinger operators. We begin by applying a KAM (Kolmogorov-Arnold-Moser) type method to establish irreducibility. Following this, we discuss an alternative approach that leverages semi-algebraic geometry and Cartan-type estimates.