Conformal mappings in higher dimensions: the Liouville theorem (cont'd)

This is a continuation of last week's talk on the Liouville theorem.  The abstract is below.

In dimension n=2, orientation preserving conformal mappings are
exactly holomorphic functions with non-zero derivative. The situation
is drastically different in higher dimensions. In this talk I will
prove the celebrated theorem of Liouville according to which the only
conformal mappings in higher dimensions are the Mobius
transformations.