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Presented By: Department of Mathematics

RTG Working Seminar on Geometry, Dynamics and Topology

Strictly Convex Divisible Domains I

We will prove a theorem of Benoist (mentioned last week) giving various characterizations of strict convexity for properly convex divisible domains in terms of 1) Gromov hyperbolicity or 2) boundary regularity.

Along the way, we will see more use of the Hilbert metric, the power of duality for convex domains, and a remarkable result of Benz\'ecri about the space of all properly convex domains. Speaker(s): Wouter Van Limbeek (University of Michigan)

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