Orateur
Jonathan Bowden
Description
The fine curve graph was introduced as a geometric tool to homeomorphism groups of surfaces. One then wishes to establish a dictionary between the underlying surface dynamics and the action of elements on the fine curve graph. For this it is key to have a geometric interpretation of points on the Gromov boundary in analogy to Klarreich’s description for classical curve graphs. We describe first steps in this regard with applications to stable commutator lengths and a kind of Tits alternative for subgroups containing pseudo-Anosov diffeomorphisms. (joint with S. Hensel and R. Webb)
