Topology Seminar

Meenakshy JyothisBinghamton University
Automorphisms of geodesic currents the preserves intersection form

Tuesday, November 7, 2023 - 2:55pm
Malott 206

We will discuss progress in proving Ivanov’s meta conjecture in the context of geodesic currents. Ivanov’s meta conjecture says that every object naturally associated with a surface and having a 'sufficiently rich’ structure has the mapping class group as its group of automorphisms. The conjecture has been proven for various combinatorial objects associated with a surface as well as for the Teichmüller space of a surface. The space of geodesic currents contains many of these structures, such as the set of closed curves up to homotopy and the Teichmüller space. We discuss progress in showing Ivanov’s conjecture for a natural group of automorphisms of currents.