Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 2016.10.11, 15:00–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Monotony for boundary representations of free group."
Speaker: Adrien Boyer (Weizmann Institute)
Abstract: I will discuss the ideas of Tim Steger and Gabriella Kuhn to study the irreducible representations of free group and explain how they are related to the standard classification of irreducible presentation of \(SL(2,R)\). In particular I will focus on the phenomenon called Monotony discovered by Steger an Kuhn. I will explain how some ideas coming from ergodic theory combined with property RD give a new method to prove that large classes of irreducible representations on the boundary of free group satisfy Monotony. This is a joint work with Lukasz Garncarek.