Quasiconformal mappings between metric spaces and Hausdorff dimension

Geometry & Topology
Event time: 
Thursday, April 13, 2006 - 12:30pm to Wednesday, April 12, 2006 - 8:00pm
431 DL
Stephen Keith
Speaker affiliation: 
Australian National University
Event description: 

There has been a recent move to develop first-order calculus in a general metric-measure space setting. Heinonen-Koskela developed a theory for quasiconformal maps in this setting, and Cheeger developed a theory of differentiation for Lipschitz functions. I will discuss some of these results and their relation to conformal dimension and geometric rigidity.