Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 1

Explore the dynamical systems associated with Anosov representations and their geometric implications in this comprehensive lecture. Delve into topics such as Patterson-Sullivan Theory, critical hypersurface, dynamical intersection, and the dynamics of the θ-Weyl-chamber flow. Examine directional-conicality and its generalizations, and investigate the approach of dominated sequences to draw conclusions on the regularity of limit sets. Gain insights from relevant references including works by Babillot-Ledrappier, Bridgeman-Canary-Labourie-S., Burger-Landesberg-Lee-Oh, Carvajales, Chow-Sarkar, Dey-Kapovich, Ledrappier, Lee-Oh, S., Bochi-Potrie-S., Pozzetti-S., Pozzetti-S.-Wienhard, and Zhang-Zimmer. Join Andrés Sambarino from CNRS & IMJ-PRG for this in-depth exploration of the dynamics associated with Anosov representations and their geometric consequences.