Workshop on "Teichmüller theory and surfaces in 3-manifolds"
timetable:
Tue 10 Jun, 16:00 - 17:00, Aula Dini
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Convex sets in Minkowski space
speaker: François Fillastre (Université Cergy-Pontoise)abstract: From works of G. Mess and F. Bonsante, we know that flat space-times with compact hyperbolic Cauchy surface can be isometrically embedded as convex domains in Minkowski space. Those convex domains belong to a general class of convex sets, among which they have the property to be invariant under subgroups of isometries. Those general convex sets can be studied using tools from the classical theory of convex bodies. In particular, we can define area measures, and look at the problem of prescribing a measure in two relevant cases, that leads to analog of the Christoffel problem (joint work with Giona Veronelli) and of the Minkowski problem (joint work with Francesco Bonsante).
timetable:
Tue 10 Jun, 16:00 - 17:00, Aula Dini
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