Title: Extremal quasiconformal embeddings
2015.06.29 |
| Date | Wed 15 Jul |
| Time | 15:15 — 16:15 |
| Location | Aud D3 |
Abstract
I will talk about a theorem of M.S. Ioffe which characterizes quasiconformal embeddings between Riemann surfaces that have minimal dilatation in their homotopy class. These extremal embeddings are obtained by stretching horizontally with respect to a pair of quadratic differentials. Ioffe's theorem can be used to prove Strebel's theorem on quadratic differentials with closed trajectories, to give a criterion for when one Riemann surface embeds conformally inside another, or to show that if two conformal embeddings are homotopic then they are homotopic through conformal embeddings.
