Conformal Dimension of the Boundary for Hyperbolic Coxeter Groups
Geb. 20.30, SR 2.058
Abstract: Classifying groups upto quasi-isometry is a classical task in geometric group theory. Even in the nice class of Coxeter groups, this classification is widely open in general.
The goal of this talk is to present a visual algorithm to give a lower bound on the conformal dimension of the boundary of a hyperbolic, one-ended Coxeter group and to show how this contributes to the quasi-isometry classification. All necessary concepts will be introduced.
This is ongoing joint work with Tullia Dymarz, Heejoung Kim, Anne Thomas, and Hanh Vo.