Yorkshire Differential Geometry Day at Leeds

Abstracts

• Shaun Bullett (Queen Mary)
  Mating and pinching in holomorphic dynamics
  We consider three types of one (complex) dimensional conformal dynamical system: rational maps, Kleinian groups, and holomorphic correspondences. In each case "quasiconformal surgery" can be used to fit together prescribed behaviours on different parts of the Riemman sphere to obtain a conformal system, and "quasiconformal deformation theory" can be used to vary the system. We discuss principles and examples.