Federica Fanoni

Curve graphs for infinite-type surfaces

For surfaces of finite-type, studying the action of the mapping class group on a graph, called curve graph, has proved very useful to understand properties of the group itself. In the case of infinite-type surfaces (e.g. surfaces of infinite genus), the classical curve graph is not interesting from the coarse geometry viewpoint. I will discuss why and when we can (or can't) construct interesting graphs in the infinite-type case. Joint work with Matt Durham and Nick Vlamis.