Monotony for boundary representations of a 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 representations of SL(2,R). In particular I will focus on the phenomenon called â€œMonotonyâ€ discovered by Steger an Kuhn. I will explain how some ideas coming from ergodic theory give a new method to prove that large classes of irreducible representations on the boundary of free group satisfy Monotony. If I have enough time I will consider the general case of hyperbolic groups to explain which ideas of Steger and Kuhn survive to this general setting. This is a work in progress in collaboration with Lukasz Garncarek.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm