Project overview
This project tackles an exciting mathematical problem which lies at the boundary of geometric group theory and analysis. It will link ideas between these two disciplines by using geometric methods to show that large and useful classes of groups satisfy the analytic property called weak amenability . In particular it will tackle the problem for Thompson's group F which is the focus of much international scrutiny. As well as uncovering evidence for an answer to the famous open question of amenability for this group, the methods developed will be applicable to many other interesting classes of groups.The project will take place at Newcastle University but will use collaborations from UK research groups around the country, including Southampton, Manchester and Oxford. The impact of this research will be far reaching, affecting research communities all around the world in universities as diverse as Penn. State University USA, Hawaii University and Vanderbilt University.AMS Mathematical classification code: 20f
Research outputs
J. Brodzki, S.J. Campbell, E. Guentner, G.A. Niblo & N.J. Wright,
2009, Journal of Functional Analysis, 256(5), 1408-1431
Type: article
2009, Journal of Functional Analysis, 256(2), 409-431
Type: article
2006, Bulletin of the London Mathematical Society, 38(3), 441-446
Type: article