Nielsen realization problem

Lei Chen

Nielsen realization problem asks whether the projection Homeo(M) → π0(Homeo(M)) has a section or not for a manifold M. This problem relates the existence of flat structure on the universal M-bundle. In this talk, I will focus on the case when M is a surface. I will talk about what other people have done in the past and then describe my results. The proof method involves homological obstruction, fixed point theory, surface dynamics and Poincare–Birkhoff Theorem. This is partly a joint work with Markovic.

http://scgp.stonybrook.edu/video_portal/video.php?id=5013

Simons- Workshop: Flexibility and rigidity in dynamical systems