The focus of this workshop is modern advances in the study of infinite groups, under a variety of contexts, many of them related to topology. There is a long history of interaction between groups, geometry, and topology (e.g. Dehn's problems on finitely presented groups) going up to the present day (e.g. use of cubulated groups in Agol's Breakthrough Prize work on 3-manifolds). There have been further advances and new ideas recently in the study of homeomorphism groups, mapping class groups, one-relator groups, right-angled Artin groups, random groups, and the concept of finding "fibrings" of groups, to name just a few. The goal is to bring together experts to explain their work, and then try to use their new methods in neighbouring areas. By doing this we can accelerate the development of new mathematics, and work on solving problems using state of the art techniques.
For further information please visit: https://sites.google.com/view/modern-advances-ggt
Jonathan Bowden (University of Regensburg)
Tara Brendle (University of Glasgow)
Richard Webb (University of Manchester)
Henry Wilton (University of Cambridge)