Seminar
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| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
This talk concerns the geometric classification of smooth, locally free, codimension-one actions of higher-rank simple Lie groups G on closed manifolds. If G is split and not locally isomorphic to SL(3,R), we prove that every such action is an equivariant fiber bundle over a homogeneous space of G; in fact, it is the simplest such bundle, namely, it is induced by an action of a lattice or a parabolic subgroup of G.
When G is locally isomorphic to SL(3,R), we obtain the same result under the existence of a P-mixing probability measure, where P is a minimal parabolic subgroup of G.
This result is in the spirit of the Zimmer program.