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Higher Teichmuller Theory and Thermodynamical Formalism

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If you have a question about this talk, please contact Mustapha Amrani.

Interactions between Dynamics of Group Actions and Number Theory

One can consider cocompact Fuchsian groups from the point of view of representations of a surface group into SL(2, R). There has been recent interest in representations into SL(d, R) for d > 2 which we might call ``Higher Teichmuller’’, particular with the recent work of Bridgeman, Canary, Labourie and Sambarino. This talk will describe the usefulness of classical ideas in thermodynamic formalism in the modern study of such representations.

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

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