And for those of you who don't know what the Poincare conjecture is:
the Poincaré conjecture states that every simply connected closed three-manifold is homeomorphic to the three-sphere (in a topologist's sense) , where a three-sphere is simply a generalization of the usual sphere to one dimension higher. More colloquially, the conjecture says that the three-sphere is the only type of bounded three-dimensional space possible that contains no holes.
Sounds fascinating, but I have absolutely no idea what this means.
Regards
David T