4:00 pm Wednesday, January 7, 2009
Geometry-Analysis Seminar: Grafting Maps on Teichmüller Space and Projective Structures on Surfaces
by
Michael Wolf (Rice University) in HB 227
Complex projective structures on surfaces can be understood in two ways. An analytic tradition, having much in common with univalent function theory, parametrizes the space of complex projective structures over a Riemann surface via Schwarzian derivatives. A more synthetic description, due to Thurston, proceeds through the operation of grafting, which in its simplest form, glues portions of projective structures together along circular boundaries. We explain the descriptions, their contexts, and the relationships between the two perspectives. Host Department: Rice University-Mathematics
Submitted by damanik@rice.edu |
