Surfaces in 3-manifolds and actions on the circle
Jeudi, 12 Octobre, 2017 - 14:00
Résumé :
For any 3-manifold M fibering over the circle there is a universal circle action of $\pi_1(M)$ on the
circle. It turns out that for quasi-Fuchsian surface subgroups (plentiful by work of Kahn-Markovic) the induced
circle action is semi-conjugate but not conjugate to the standard Fuchsian action. The proof uses Cannon-Thurston
maps and their structure. We shall discuss this and related results. Joint work with S. Kim and T. Koberda.
Institution de l'orateur :
Tata Institute Bombay
Thème de recherche :
Théorie spectrale et géométrie
Salle :
Salle 04