Mathematics Colloquia and Seminars
Return to Colloquia & Seminar listing
2π-graftings and complex projective structuresGeometry/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.