Speaker: David Dumas,  Brown University
Title of talk: Analysis and geometry of CP^1structures on surfaces
Abstract: The spaceof marked CP^1  structures on a surface can be studied through complex analysis(using the Schwarzian derivative and geometric function theory) orhyperbolic geometry (using pleated surfaces and grafting, followingThurston). We present several results comparing these two perspectives,and relating the Schwarzian derivative of a CP^1 structure to the geometryof the corresponding pleated surface. These results include jointwork with Mike Wolf.