The fine curve graph and rotation theory on surfaces
Vortrag von Nastaran Einabadi
Datum: 22.05.25 Zeit: 16.15 - 17.15 Raum: ETH HG G 19.2
The fine curve graph of a surface was introduced by Bowden, Hensel, and Webb in 2022. This hyperbolic metric graph is used to study the homeomorphism group of the surface through its action on the graph. Since the introduction of this object, many researchers have worked to establish connections between the dynamics of surface homeomorphisms, and the dynamics of their action by isometries on the fine curve graph. These endeavours have led to the discovery of a connection between this subject and the rich area of rotation theory on surfaces. Rotation theory was first developed in the late 1980s by Misiurewicz and Ziemian, and remains an active field of research to this day. This talk will include an introduction to these theories, as well as statements of interesting results and unanswered questions.