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The geometry of Hitchin grafting representations

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OGGW02 - Actions on graphs and metric spaces

Misha Kapovich in collaboration with B. Leeb and J. Porti and also Dey developed a geometric theory of Anosov representations into simple Lie groups of higher rank. Among others, they discovered the importance of studying such representations using invariant Finsler metrics.  Best known such representations are Hitchin surface group representations into SL(n,R). For so-called Hitchin grafting representations we discuss a different geometric viewpoint which can be thought of as a geometric interpretation of Fock Goncharov positivity. It can be used to understand the geometry of these representations explicity. This is based on joint work with Pierre-Louis Blayac and Theo Marty. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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