An exotic structure on a differentiable manifold is one which is
homeomorphic but not diffeomorphic to the manifold. A fake structure on a
complex manifold is one which has the same Betti numbers but not
biholomorphic to the manifold. The main purpose of the talk is to explain
the joint work of Gopal Prasad and myself on classification of fake
projective planes. Some observations related to exotic structures will be
mentioned. Fake projective plane was first introduced by David Mumford. It
has the smallest possible Euler number among all smooth surfaces of general
type. Related work of Klingler, myself, Prasad and Cartwright-Steger will
also be discussed.
Webmaster University of Houston
---
Last modified: April 11 2016 - 18:14:43