Superrigidity in partially hyperbolic systems

Date(s) : 19/09/2016   iCal
14 h 00 min - 15 h 00 min

A superrigidity phenomenon occurs when we can reconstruct the action of a Lie group from that of a discrete subgroup. In Margulis’s famous superrigidity theorem, the Lie group is large and the subgroup is a lattice. When the Lie group is small, for example for R and the subgroup Z we have no such superrigidity. We proved a surprising superrigidity phenomenon in partially hyperbolic dynamics: under relatively mild hypotheses, one can reconstruct a flow from the action of a diffeomorphism. This is joint work with C. Butler.

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