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Combinatorial Aspects of Complex Projective Structures
Student-Run Geometry/Topology Seminar| Speaker: | Shinpei Baba, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Mar 30 2006, 1:10PM |
Complex Projective Structures (on an orientable closed surfaces of genus more than one) can be defined as a special type of Riemann Surfaces with property that the transition maps are in PSL(2,C). More practically and globally, it can be defined as a pair of developing map and a monodromy representation. Due to William Thurston, There is a combinatorial way to parameterize the space of complex projective structures, as a product of the Teichimuller space of the surface and the measured lamination space. If time permits, we will discuss the characterization of complex projective structures with a fixed quasifuchsian monodromy, due to Goldman.