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SUMMARY:Volume Entropy Rigidity in Hilbert Geometries
DTSTART;VALUE=DATE-TIME:20191118T153000Z
DTEND;VALUE=DATE-TIME:20191118T164500Z
DTSTAMP;VALUE=DATE-TIME:20200706T093237Z
UID:indico-event-5258@indico.math.cnrs.fr
DESCRIPTION:In this talk we will discuss the Besson-Courtois-Gallot (BCG)
theorem in the context of convex projective geometry. The BCG theorem is a
rigidity statement relating the volume and entropy of a negatively curved
Riemannian manifold\, and has many applications including Mostow rigidity
. In the world of convex real projective structures\, the natural Hilbert
geometry on these objects is only Finsler and the geometry is generally no
t even $C^2$. We discuss our analogous BCG theorem and some applications i
n the case where the manifold is closed. We will include some ongoing work
to extend the result to finite volume. This is based on joint work with I
lesanmi Adeboye and David Constantine.\n\nhttps://indico.math.cnrs.fr/even
t/5258/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/5258/
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