EVENT DETAILS AND ABSTRACT

Title: Leafwise entropy rigidity for foliations
Speaker: Professor Chris Connell
Speaker Info: Indiana University
Brief Description:
Special Note:
Abstract:

We prove an entropy rigidity statement for general foliated maps f:M-->N between compact foliated spaces in the sense of Besson, Courtois and Gallot. In particular, we establish an iso-entropic inequality with respect to a transverse quasi-invariant measure which is optimal when almost every leaf of M is locally symmetric. We give some applications of this as well, and indicate how it relates to the entropy rigidity conjecture for higher rank spaces. This is joint work with Zhenyu Li.