Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups

Collection Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups

Organizer(s) Martin Bridgeman, Richard Canary, Fanny Kassel, Hee Oh, Maria Beatrice Pozzetti and Jean-François Quint

Date(s) 19/06/2023 - 23/06/2023

linked URL https://indico.math.cnrs.fr/event/8759/

00:00:00 / 00:00:00

18 20

Dynamics Associated to Anosov Representations: Some Geometric Consequences

By Andrés Sambarino

We will review some dynamical systems associated to an Anosov representation and draw some geometric conclusions. More precisely, we will review topics such as the Patterson-Sullivan Theory for these representations, the critical hypersurface, dynamical intersection, dynamics of the \theta-Weyl-chamber flow, and finally directional-conicality and generalizations. We will then consider the approach of dominated sequences and draw conclusions on the regularity of limit sets. Some relevant references are lecture 1: Babillot-Ledrappier, Bridgeman-Canary-Labourie-S., Burger-Landesberg-Lee-Oh, Carvajales, Chow-Sarkar, Dey-Kapovich, Ledrappier, Lee-Oh, S. lecture 2: Bochi-Potrie-S., Pozzetti-S., Pozzetti-S.-Wienhard, Zhang-Zimmer.

Information about the video

Date of recording 22/06/2023
Date of publication 23/06/2023
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

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