Department of Mathematics

Geometry and Topology

  •  Simplicial Maps of Complexes of Curves and Mapping Class Groups of Surfaces
  •  10/19/2017
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  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.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science