Teichmüller theory and surfaces in 3-manifolds
timetable:
Tue 3 Jun, 15:45 - 16:45, Aula Dini
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On ramified coverings of the sphere and immersed surfaces in hyperbolic space
speaker: Graham Smith (Universidade Federal do Rio de Janeiro)abstract: We construct a bijection between the space of ramified coverings of the sphere on the one hand and the space of complete finite area locally strictly convex immersed surfaces in hyperbolic space of constant Gaussian curvature equal to k, for any fixed k between 0 and 1 on the other. Furthermore, this bijection restricts over each stratum to a homeomorphism.
timetable:
Tue 3 Jun, 15:45 - 16:45, Aula Dini
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