Appears in collection : 2022 - T2 - WS1 - Mapping class groups and Out(Fn)

In this talk we are interested in the following question: what are “good” generating sets for the mapping class group of a surface? If the surface is compact (or more generally of finite type), there are multiple satisfactory answers, while it it is of infinite type, the question is wide open. I will talk about this problem and present a partial (negative) answer for a large class of surfaces. Joint work with Sebastian Hensel.