Higher Teichmuller Theory and Thermodynamical Formalism
Seminar Room 1, Newton Institute
AbstractOne 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.
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