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SUMMARY:Geometry & Dynamics Seminar: The renormalized volume of quasifuchs
 ian manifolds 
DTSTART:20150225T151500
DTEND:20150225T163000
DTSTAMP:20260414T154756Z
UID:09a7a8b5bec8ef9a448e4a8fe8b1d8a13f0b18a588a89179bdf033df
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jean-Marc Schlenker (Univ. of Luxembourg)\nQuasifuchsian hyper
 bolic manifolds have infinite volume\, but physicists have invented (in a 
 broader context) a way to define a "renormalized" volume. By Bers' double 
 uniformization theorem\, quasifuchsian manifolds of given topology are par
 ameterized by the product of two copies of the Teichmueller space $T_S$ of
  a surface $S$. Fixing one of the two parameters\, the renormalized volume
  defines a function which is a Kaehler potential for the Weil-Petersson me
 tric on $T_S$. In addition it is almost equal (up to additive constants) t
 o the volume of the convex core\, and is therefore "quasi-equivalent" to t
 he Weil-Petersson distance between the conformal structures at infinity. T
 his makes it a useful tool to study the Weil-Petersson geometry of $T_S$.
LOCATION:EPFL - GC C3 30  http://plan.epfl.ch/?lang=fr&room=GC+C3+30+
STATUS:CONFIRMED
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