國立清華大學 數學系

Abstract: In this talk, we aim to have a glance of the spark between dynamics and geometry. I will start from “what are dynamical systems” and try to answer “how could dynamics tell us about geometry." Along the way, I will introduce works of Sinai (2014 Abel Prize winner), Margulis (1978 Fields medalist), Thurston (1982 Fields medalist), McMullen (1998 Fields medalist), Mirzakhani (2014 Fields medalist), and some of my recent works on entropy rigidity and pressure metrics.