|Date: Friday, October 06, 2017
Location: 3866 East Hall (3:00 PM to 5:00 PM)
Title: VOLUME AND ENTROPY FOR HILBERT GEOMETRIES
Abstract: We prove that for any closed manifold M admitting a con- stant curvature hyperbolic metric, there is a lower bound on the Hilbert volume of convex projective structures on M. Moreover, the volume growth entropy decreases to 0 if the Hilbert volume of the convex pro- jective structures on M grows without bound. In dimension three, these results are an application of a volume-entropy rigity theorem following the classical work of Besson-Courtois-Gallot. This is joint work with Ilesanmi Adeboye and David Constantine.
Speaker: Harrison Bray
Institution: U Michigan
Event Organizer: Spatzier