Title    name
Geometric Topology Fair 2017
  Speaker Kenichi Ohshika
  Date 2017-05-12
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
Abstract : In one of the famous 24 problems of Thurston which appeared in Bull. AMS in 1982, he asked if Cannon-Thurston maps move continuously in the deformation spaces of Kleinian surface groups. Mj and Series gave an example of convergent sequence of quasi-Fuchsian groups whose Cannon-Thurton maps do not converge pointwise to that of the limit group. In this talk, we shall give a complete criterion for C-T maps of quasi-Fuchsian groups to converge pointwise. Furthermore, we shall determine at which points the convergence breaks down if the criterion does not hold. This is joint work with Mahan Mj of Tata Institute.