3-Manifold Seminar: The classification of noncompact surfaces

Seminar | October 17 | 11:10 a.m.-12:30 p.m. | 939 Evans Hall

 Ethan Dlugie, UC BERKELEY

 Department of Mathematics

Much of what we know about mapping class groups of compact surfaces stems from their well known classification. In recent years, much effort has been directed towards understanding "big" mapping class groups, i.e. the mapping class groups of surfaces of infinite type. In this talk, we'll walk through Ian Richards' proof that such surfaces are completely classified by their space of ends. We'll define the space of ends and see some rather unintuitive consequences of this result.