Unique ergodicity of horocycle flows on compact quotients of SL(2,R) following Coudène

Speaker: Jon Chaika

Date: Tue, Jun 30, 2020

Location: Zoom

Conference: University of Utah Seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific

Abstract:

Furstenberg proved that the horocycle flow on any compact quotient of SL(2,R) is uniquely ergodic. This has been generalized by many people. I will present a proof due to Yves Coudène, which I find elegant and can prove some of the generalizations of Furstenberg's theorem too.