Event time:

Thursday, April 5, 2007 - 12:30pm to Wednesday, April 4, 2007 - 8:00pm

Location:

TBA

Speaker:

Petra Bonfert-Taylor

Speaker affiliation:

Wesleyan

Event description:

Recall that a complete hyperbolic manifold is uniformly

quasiconformally homogeneous if there exists a $K \geq 1$ so that every

pair of points on the manifold can be paired by a $K$-quasiconformal

automorphism of the manifold. We will review the definition, some

basic results and some geometric and topological constraints associated

with quasiconformal homogeneity. Then we will focus on quasiconformal

homogeneity in dimension $2$, which has to be dealt with quite

differently from the higher-dimensional case. We will present recent

results for hyperelliptic surfaces and planar domains.