Teichmüller space: complex vs hyperbolic geometry
|
Thu, 26/04/2012 12:00 |
Alessandro Sisto |
Junior Geometry and Topology Seminar  |
SR1 |
| Complex structures on a closed surface of genus at least 2 are in one-to-one correspondence with hyperbolic metrics, so that there is a single space, Teichmüller space, parametrising all possible complex and hyperbolic structures on a given surface (up to isotopy). We will explore how complex and hyperbolic geometry interact in Teichmüller space. | |||