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Dynamics on character varieties, random orbits

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Serge Cantat
Univ. Rennes
Don, 25/01/2024 - 10:30 - 12:00
MPIM Lecture Hall

Consider the 2-dimensional real torus with one puncture; its fundamental group is the free group F on 2 generators. The character variety of F describing representations of F in SL(2,\C) modulo conjugacy is an affine space of dimension 3. The mapping class group GL(2,\Z) acts on it by automorphisms (the action is by pre-composition of representations). My goal will be to describe some dynamical properties of this action. (based on a joint work with Dupont and Martin-Baillon)

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