Date: Thursday, October 25, 2012
Location: 3866 East Hall (3:00 PM to 4:00 PM)
Title: An extension of the Weil-Petersson metric on the Hitchin component(s).
Abstract: A Hitchin component is a conneceted component of the space of representations of the fundamental group of a closed hyperbolic surface to PSL(n,R), that naturally contains the Teichmuller space (called the Fuchsian locus) of the surface.
The purpose of the talk is to explain a recent work in colaboration with M. Bridgeman, D. Canary and F. Labourie where a (mapping class group invariant-) Riemannian metric on the Hitchin components is constructed. This metric extends the Weil-Petersson metric on the Fuchsian locus.
Speaker: Andres Sambarino
Institution: Orsay
Event Organizer:
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