### Dynamics Seminar

# Daniel Meyer

### (Jacobs University)

## "Quasisymmetric parametrization and rational maps, or how I got involved in complex dynamics"

** Date: ** |
Tue, February 8, 2011 |

** Time: ** |
14:00 |

** Place: ** |
Research I Seminar Room |

**Abstract:** In this talk I describe how I ended up doing complex dynamics.
Quasisymmetric (qs) maps are close relatives (more precisely global
versions) of quasiconformal maps. Quasisymmetric uniformization asks
whether a given metric space is qs-equivalent to some standard space.
Of particular interest is the question when a metric sphere is
qs-equivalent to the standard sphere. It turns out that certain
fractal spheres can be quasisymmetrically parametrized via a rational
map. Whether a topological rational map is equivalent to a rational
map turns out to be equivalent to the question whether a certain
metric sphere is qs-equivalent to the standard sphere.