# Lattices, polyhedral complexes and cubulations

Anne Thomas
University of Sydney
28 March 2013, 12 noon - 1pm, Carslaw 707A, University of Sydney

## Abstract

Let $$X$$ be a locally finite polyhedral complex, such as a tree, a product of trees, a Davis complex or a building. Then $$G = \mbox{Aut}(X)$$ is naturally a locally compact group, and we can compare lattices in $$G$$ to lattices in Lie groups. I will survey the impact of recent work of Agol and Wise on the study of lattices in $$G$$.