Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices

Abstract

The goal of this paper is to present a number of problems about automorphism groups of nonpositively curved polyhedral complexes and their lattices, meant to highlight possible directions for future research.

39 pages, 2 figures. To appear in Festschrift in honor of Robert Zimmer's 60th Birthday. Version 2: incorporates many useful comments and some new problems suggested by Frederic Haglund

References in corpus (2)

• Simplicity and superrigidity of twin building lattices
• Algorithmic Properties of Relatively Hyperbolic Groups

Cited by in corpus (8)

• Metric geometry of locally compact groups
• Bounding the homological finiteness length
• 2-dimensional Coxeter groups are biautomatic
• On regular CAT(0) cube complexes
• Automorphisms of geometric structures associated to Coxeter groups
• A family of uniform lattices acting on a Davis complex with a non-discrete set of covolumes
• Characterising star-transitive and st(edge)-transitive graphs
• Buildings, Group Homology and Lattices