Teichmüller theory and surfaces in 3-manifolds
timetable:
Mon 26 May, 11:30 - 12:30, Aula Magna Dipartimento di Matematica
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Infinitesimal deformations of hyperbolic metrics on a surface and flat Lorentzian structures
speaker: Andrea Seppi (PhD student)abstract: A maximal globally hyperbolic flat Lorentzian manifold M is a 3-manifold endowed with a flat pseudo-Riemannian metric (of signature 2,1) with some good properties related to causality. For example, M is homeomorphic to SxR, where S is a closed surface of genus g>1. We will survey some classification results of such space-times, with a prescribed topology, due to Mess. In particular, their moduli space can be identified to the tangent bundle of Teichmuller space of the closed surface S. We will recover this identification in a different way by means of geometric differential techniques, which enable to extend the previous results to the case of space-times and surfaces containing cone singularities.
timetable:
Mon 26 May, 11:30 - 12:30, Aula Magna Dipartimento di Matematica
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