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Higher Teichmuller Theory and Thermodynamical Formalism

Presented by: 
M Pollicott University of Warwick
Date: 
Friday 4th July 2014 - 09:00 to 09:50
Venue: 
INI Seminar Room 1
Abstract: 
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons