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SUMMARY:Virtual classification of hyperbolic 3-manifolds and applications 
 - Vlad Markovic (Caltech)
DTSTART:20130619T130000Z
DTEND:20130619T140000Z
UID:TALK45790@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:During the past few years\, J. Kahn and I developed a theory\n
 (based among other things on deep statistical properties of geometric\nflo
 ws) that led to the solution of the Ehrenpreis conjecture and (in some\nse
 nse more importantly) the proof of the Surface Subgroup Theorem in\n3-mani
 fold topology. In particular\, this theorem implies that every\nhyperbolic
  3-manifold is cubulated. It then follows from the Agol-Wise\ntheory of cu
 be complexes that every hyperbolic 3-manifold is virtually\nHaken and virt
 ually fibered. I will also discuss my latest result that\naims to  classif
 y hyperbolic groups whose boundary is the 2-spehere (the\nCannon Conjectur
 e)\, the main motivation being that this gives a\nfundamentally new approa
 ch toward proving the Perelman Hyperbolization\nTheorem for 3-manifolds of
  negative curvature.
LOCATION:CMS\, MR11
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