Topology Seminar

Mondays 3-4pm (Eastern Time), Ayres Hall 113

Speaker: Koichi Oyakawa

Title: Geometry and dynamics of the extension graph of graph product of groups

Abstract: In this talk, I will introduce the extension graph of graph product of groups and explain its geometry. This notion enables us to study the properties of graph product by exploiting the large-scale geometry of its defining graph. In particular, I show that the asymptotic dimension of the extension graph exhibits the same behavior as in the case of quasi-trees of metric spaces studied by Bestvina-Bromberg-Fujiwara. In addition, I present applications of the extension graph to the study of convergence actions, graph wreath products, and group von Neumann algebras when the defining graph is hyperbolic.








Spring 2025

Fall 2024

Spring 2024

Organizers: Sagnik Jana, Yulan Qing.