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Mini Course: Anosov representations

Random and Arithmetic Structures in Topology: Introductory Workshop August 25, 2020 - September 11, 2020

September 08, 2020 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): Fanny Kassel (Institut des Hautes Études Scientifiques (IHES))
Location: MSRI: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

Anosov representations are discrete, faithful (or finite-kernel) representations of word hyperbolic groups into semisimple Lie groups, with strong dynamical properties. They were introduced by Labourie in 2006 for fundamental groups of closed negatively-curved manifolds, and generalized by Guichard and Wienhard in 2012. They have been much studied in the past few years, and play an important role in higher Teichmüller-Thurston theory and in recent developments in the theory of discrete subgroups of Lie groups. We will introduce these representations, give examples, and discuss some characterizations.

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