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Degenerations Sl(2,C) representations and Lyapunov Exponents.

By: Contributor(s): Publication details: Rio de Janeiro: IMPA, 2017.Description: video onlineSubject(s): DDC classification:
  • cs
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Let GG be a finitely generated group endowed with some probability measure mumu and (rholambda)(rholambda) be a non-compact algebraic family of representations of GG into SL(2,mathbbC)SL(2,mathbbC). This can be understood as a product of random matrices depending on a parameter lambdalambda. Using non-Archimedean techniques, we study the asymptotics of the Lyapunov exponent function when lambdalambda goes to infinity. This is joint work with Charles Favre
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Let GG be a finitely generated group endowed with some probability measure mumu and (rholambda)(rholambda) be a non-compact algebraic family of representations of GG into SL(2,mathbbC)SL(2,mathbbC). This can be understood as a product of random matrices depending on a parameter lambdalambda. Using non-Archimedean techniques, we study the asymptotics of the Lyapunov exponent function when lambdalambda goes to infinity. This is joint work with Charles Favre

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