EVENT DETAILS AND ABSTRACT

Title: Volume entropy rigidity for buildings (Joint work with François Ledrappier)
Speaker: Professor Seonhee Lim
Speaker Info: Cornell University
Brief Description:
Special Note:
Abstract:

Volume entropy of a Riemannian manifold is the exponential growth rate of the volumes of balls. Entropy rigidity for rank-1 Riemannian manifolds is known: a theorem of Besson-Courtois-Gallot says that the locally symmetric metrics attain minimal volume entropy among all Riemannian metrics. In this talk, we are interested in entropy rigidity for buildings, especially hyperbolic ones. We will give several characterizations of the volume entropy, analogous to the ones for trees, that will help us to find some lower bound on volume entropy.