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SUMMARY:Some properties of the landslide flow
DTSTART:20130415T171500
DTEND:20130415T180000
DTSTAMP:20260916T061444Z
UID:958b38756567ceacc387eb3b2a47746ef357101c9122d0fc33eb846f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gabriele Mondello (University of Rome)\nHamiltonian Dynamics S
 eminar\nAbstract: An earthquake is a deformation of a hyperbolic metric on
  a surface concentrated on a simple closed curve or\, more generally\, on 
 a measured geodesic lamination. Mess showed that this deformation can be i
 nterpreted by isometrically immersing the surface inside an anti-de Sitter
  3-manifold with bending datum given by the measured lamination.\nGenerali
 zing this recipe\, we will define the landslide\, which is a deformation o
 f a hyperbolic metric whose intensity is parametrized by another hyperboli
 c metric\, and we will show that it is a smoother analog of the earthquake
  on Teichmüller space.\nSimilarly\, we introduce the imaginary version of
  the landslide\, the ``smooth grafting''\, which generalizes the grafting 
 along a measured lamination which is the imaginary counterpart of the eart
 hquake (related by Thurston to bent surfaces in hyperbolic 3-manifolds).\n
 We discuss some properties of these deformations: including the Hamiltonia
 n nature of the landslide flow with respect to the Weil-Petersson symplect
 ic structure\, the convexity of the Hamiltonian function along Weil-Peters
 son geodesics\, the symplectic nature of the smooth grafting and the exten
 sion of such deformation to the boundary...\nThis is joint work with Franc
 esco Bonsante and Jean-Marc Schlenker.
LOCATION:MA A3 30 http://plan.epfl.ch/?room=MA%20A3%2030
STATUS:CONFIRMED
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