Date and Time: Friday, October 1st, 2-3pm
Place: Rome 206
Speaker: Lien-Yung “Nyima" Kao, GWU
Title: Dynamics, Geometry, and Rigidity
Abstract: In this talk, we will discuss topics in ergodic geometry. We aim to have a glance at the spark between dynamics and geometry through Thermody- namic Formalism, an ergodic theory tool inspired by statistical mechanics.
Our discussion will be centered around the question: can one see the ge-ometry of the underlying space through dynamical quantities? Along the way, we will discuss seminal works of Katok, Margulis, Thurston, Mc- Mullen, and some of my works about entropy (type) rigidity, Manhattan curves, and pressure metrics on deformation spaces.