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: Online working seminar in Ergodic Theory, University of Utah Seminar in Ergodic Theory
Subject: Mathematics
Class: Scientific
Date: Tue, Jun 30, 2020
Location: Zoom
Conference: Online working seminar in Ergodic Theory, 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.