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SUMMARY:Dynamics of Unipotent Frame Flows for Hyperbolic Manifolds
DTSTART;VALUE=DATE-TIME:20190311T133000Z
DTEND;VALUE=DATE-TIME:20190311T144500Z
DTSTAMP;VALUE=DATE-TIME:20210508T192526Z
UID:indico-event-4452@indico.math.cnrs.fr
DESCRIPTION:In joint work with François Maucourant\, we study the dynamic
s of unipotent flows on frame bundles of hyperbolic manifolds of infinite
volume. We prove that they are topologically transitive\, and that the nat
ural invariant measure\, the so-called "Burger-Roblin measure"\, is ergodi
c\, as soon as the geodesic flow admits a finite measure of maximal entrop
y\, and this entropy is strictly greater than the codimension of the unipo
tent flow inside the maximal unipotent flow. The latter result generalises
a theorem of Mohammadi and Oh.\n\nIn the talk\, I will present the main i
deas of this work.\n\nhttps://indico.math.cnrs.fr/event/4452/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4452/
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