Mark POLLICOTT – Surface groups and higher Teichmuller theory, symbolic dynamics and zeta functions

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Date(s) - 25/11/2019
14 h 00 min - 15 h 00 min

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Mark POLLICOTT (Warwick University)

Francois Labourie studied representations of (compact) surface groups into PSL(d,R) (d>2) generalizing the traditional case of d=2 associated with Teichmuller theory. In the case d=2 one can associate a famous complex function called the Selberg Zeta function, introduced by Selberg in 1956. We will describe how to extend these ideas to the cases d> 2. Time permitting (which is unlikely) I will try to also make the connection to Weil-Petersson metrics.

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