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On sequences of Riemannian metrics on closed aspherical 3-manifolds


Speaker: Michel Boileau, Universite Paul Sabatier, Toulouse
Location: 2112 MSB
Start time: Wed, May 2 2007, 4:10PM

We prove a result about sequences of Riemannian metrics on a closed aspherical 3-manifold such that the sectional curvature is locally controlled and the thick part asymptoticaly converges to a hyperbolic 3-manifold. Then Perelman's long term Ricci flow with surgeries allows to apply this result to get a proof of the geometrization conjecture for aspherical 3-manifolds.