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SUMMARY:Geometric realisation of degeneration of hyperbolic structures on 
 3-manifolds
DTSTART:20160317T130000
DTEND:20160317T140000
DTSTAMP:20260916T044005Z
UID:7580a01e69cf6bafa54bb2eb6ba82edd6950e343a5f4beccafef0856
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ohshika\, Ken'ichi (Osaka)\nAbstract: Degeneration of hyperbol
 ic structures on a surface can be described by points in the Thurston boun
 dary of Teichmuller space.\nWe can also interpret this by using isometric 
 actions of the fundamental group of the surface on R-trees and their dual 
 laminations\, whose existence is guaranteed by Skora’s theorem.\nWe can 
 consider the same kind of description for degeneration of hyperbolic struc
 tures on the interior of a compact 3-manifold with boundary.\nIn this case
  however\, in general it is impossible to realise R-tree actions coming fr
 om degeneration by dual codimension-one laminations.\nI will give concrete
  examples of R-tree actions which cannot be realised by dual laminations\,
  and show that in the case of boundary-irreducible manifolds\, it is possi
 ble to realise R-tree actions by dual codimension-one laminations which li
 e in 3-manifolds homotopy equivalent to the original one.
LOCATION:Bât. MA\, MA12
STATUS:CONFIRMED
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