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Elmas Irmak, University of Michigan, Simplicial Maps of Complexes of Curves and Mapping Class Groups of Surfaces

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February 28 | 1:00 pm - 2:00 pm EST

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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 the classification of injective homomorphisms from finite index subgroups of the mapping class group to the whole group.


February 28
1:00 pm - 2:00 pm
Event Category:
SAS 4201