Andrés Sambarino - 1/2 Dynamics Associated to Anosov Representations: Some Geometric Consequences 🔎🔍
🎞️ · 22.06.2023 · 11:19:10 ··· Donnerstag ⭐ 0 🎬 0
📺Institut des Hautes Etudes Scientifiques (IHES)
🎬 · 22.06.2023 · 11:19:10 ··· Donnerstag
😎 · 03.07.2024 · 15:40:29 ··· MiTTwoch
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.
Andrés Sambarino (CNRS & IMJ-PRG)
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· 22.06.2023 · 11:19:10 ··· Donnerstag
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