Nicolas Matte Bon: ETH Fellowship

We are delighted to announce that Dr Nicolas Matte Bon has received a fellowship of the ETH Zurich Postdoctoral Fellowship Programme.

by Monika Krichel

Nicolás Matte Bon has obtained a fellowship for the project: "Dynamical aspects in analytic group theory". He works as a postdoctoral researcher together with his mentor Professor Marc Burger on geometric, analytic and probabilistic aspects of infinite groups.

About the project

One focus of the project is the emerging topic of the study of groups of "dynamical origin''. The notion of topological full groups allows to associate a group to any dynamical system. In the last few years this construction has been considered by various authors to provide new examples of groups related to classical problems in group theory. These results are giving rise to a new topic in which the properties of the underlying dynamics interact with the geometric and algebraic properties of the resulting group. 

Another focus of the project is on the study of the dynamics of group actions on their Chabauty space of subgroups. The space of subgroups of a group carries a natural topology which makes it a compact space, on which the group acts continuously by conjugation. The study of the dynamics of this action may be seen as a natural generalization of the study of the normal subgroup structure of the group (which are just the fixed points), and can produce in some cases rigidity results for group actions.

ETH Zurich Postdoctoral Fellowship Programme

Enlarged view: Marc Burger, Nicolas Matte Bon
Marc Burger and Nicolas Matte Bon
JavaScript has been disabled in your browser