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DTSTART:20070311T020000
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DTSTAMP:20260917T032649
DTSTART;TZID=America/Detroit:20260923T160000
DTEND;TZID=America/Detroit:20260923T172000
SUMMARY:Workshop / Seminar:RTG SEMINAR GEOMETRY\, TOPOLOGY\, DYNAMICS: Global Rigidity of Codimenson 1 Actions
DESCRIPTION:This talk concerns the geometric classification of smooth\, locally free\, codimension-one actions of higher-rank simple Lie groups G (e.g.\, SL(n\,R)\, n at least 3) on closed manifolds M. We show that M is G-equivariantly diffeomorphic (up to a finite cover) to  G/\Gamma x S^1\, for a uniform lattice \Gamma of G\, if and only if it admits a probability measure that is mixing for a minimal parabolic subgroup P of G. When such a P-mixing probability measure does not exist\, we show that M is a fiber bundle over a boundary space of G\, i.e.\, over G/Q for some parabolic subgroup Q of G. This result is in the spirit of the Zimmer program.
UID:150235-21908433@events.umich.edu
URL:https://events.umich.edu/event/150235
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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