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### 2π-graftings and complex projective structures

**Geometry/Topology**

Speaker: | Shinpei Baba, Cal Tech |

Location: | 2112 MSB |

Start time: | Tue, Sep 25 2012, 3:10PM |

A (complex) projective structure is a certain geometric structure on a (real) surface, and it has a holonomy representation from the fundamental group of the base surface into PSL(2,C). A grafting is a surgery operation that transforms a projective structure to another, preserving its holonomy representation. We show that graftings indeed generate all projective structures with a fixed generic holonomy representation.