Abstract:
From a purely mathematical viewpoint, one can say that most recent
work in Lorentz geometry concerns group actions on Lorentz manifolds.
For instance, the three major themes: space form problem of Lorentz
homogeneous spacetimes, the completeness problem, and the classification
problem of large isometry groups of Lorentz manifolds, all deal with group
actions. However, in the first two cases, actions are "zen" (e.g. proper),
and in the last, the action is violent (i.e. with strong dynamics). We will
survey recent progress in these themes, but we will focus attention
essentially on the last one, that is, on Lorentz dynamics.
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Zeghib's lecture
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Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and A.Zeghib