Geometric Structures Associated to Anosov Representations - Lecture 1

Explore the first lecture in a series on "Geometric Structures Associated to Anosov Representations" delivered by Sara Maloni as part of the "New Trends in Teichmüller Theory" program at the International Centre for Theoretical Sciences. This 1-hour 20-minute lecture is part of a two-week thematic program focusing on recent developments in Teichmüller theory, including higher Teichmüller theory and its connections to Anosov representations. The program brings together techniques from complex analysis, hyperbolic geometry, dynamics, partial differential equations, projective geometry, and other fields to explore the richness of Teichmüller theory. Designed for researchers, postdocs, and students interested in initiating research projects in these emerging fields, this lecture provides valuable insights into the geometric structures that arise in the context of Anosov representations.