Complex projective structures and dynamics in moduli space

Thu, 02/05
15:00
Subhojoy Gupta (Aarhus University) Junior Geometry and Topology Seminar Add to calendar SR1
We shall introduce complex projective structures on a surface, and discuss a new result that relates grafting, which are certain geometric deformations of these structures, to the Teichmuller geodesic flow in the moduli space of Riemann surfaces. A consequence is that for any Fuchsian representation of a surface-group, the set of projective structures with that as holonomy, is dense in moduli space.