Geometry and Topology Seminar

Quasiconvex subgroups of relatively hyperbolic groups

Eduardo Martinez, University of Oklahoma

Details
Wednesday March 26, 2008  
  809 Physical Sciences Center
  3:45 pm  

Abstract The relatively hyperbolic groups, introduced by Gromov, generalize the class of fundamental groups of complete finite volume hyperbolic manifolds. When considering a relatively hyperbolic group as a geometric object, the quasiconvex subgroups are the natural subgroups to consider. Recently, special attention has been given to the study of this class of subgroups. In this talk, some of the recent results for quasiconvex subgroups will be discussed with emphasis on my thesis work on combination theorems for this class of subgroups.