Title: Simplicial Maps of Complexes of Curves and Mapping Class Groups of Surfaces

Date: 10/19/2017

Time: 2:00 PM - 3:00 PM

Place: C304 Wells Hall

Speaker: Elmas Irmak, Bowling Green State University

I will talk about recent developments on simplicial maps of complexes of curves on both orientable and nonorientable surfaces. I will also talk about joint work with Prof. Luis Paris. We prove that on a compact, connected, nonorientable surface of genus at least 5, any superinjective simplicial map from the two-sided curve complex to itself is induced by a homeomorphism that is unique up to isotopy. As an application we give classification of injective homomorphisms from finite index subgroups of the mapping class group to the whole group.