EVENT DETAILS AND ABSTRACT

Title: The Poisson-Furstenberg Boundary and CAT(0) Cube Complexes
Speaker: Talia Fernos
Speaker Info: The University of North Carolina at Greensboro
Brief Description:
Special Note:
Abstract:

CAT(0) cube complexes are fascinating objects of study, thanks in part to the interplay between two metrics they naturally admit, which lead to the visual and Roller boundaries. Under standard assumptions, the Roller Boundary carries a stationary measure making it the Furstenberg-Poisson Boundary of a random walk on the acting group $G$. This generalizes previous work of Nevo-Sageev. In this talk, we will discuss the geometry of the Roller Boundary and the proof of this theorem, with an emphasis on the case of a tree.