Thread: Poincare conjecture

Here a several links regarding the Poincare Conjecture proof and Grigori Perelman.

The Asian Journal of Mathematics contains the paper published by the Chinese gentlemen who claim to have proven it.

The Kleiner-Lott link contains links to many other online materials related to Perelman's work.

If anyone is interested. It's mighty heady stuff.

For the Asian Journal of Math, go to http://www.ims.cuhk.edu.hk/~ajm/

and scroll down to:

A Complete Proof of the Poincaré and Geometrization Conjectures - Application of the Hamilton-Perelman Theory of the Ricci Flow

It's a pdf file.


The other link is http://www.math.lsa.umich.edu/~lott/.../perelman.html


Perelman is apparently an eccentric who never published his work. The Chinese have published. According to the rules of CMI, the work must be published and endure 2 years of examination by the mathematical community.

Originally Posted by galactus

The Asian Journal of Mathematics contains the paper published by the Chinese gentlemen who claim to have proven it.

I do not really trust such sites. If you ever tried to search for Fermat's Last theorem you will see so many that say they proved it. Same thing with Riemann Hypothesis.

This is from FOCUS, a publication from MAA.

If they want their million-dollar prize, it's up to CMI.

Those Chinese gentlemen published theirs, so we'll see.

Perelman was the first to claim he proved it, but won't publish. He made

tours of universities.

Wiles proved Fermat already, so any other such claims are most likely in vain.

Did you ever see Wiles' paper?. It's crazy. 200+ pages of hierglyphs which only a handful of people could understand. For that matter, how would we know if he proved it or not.

Anyway, it's fun. It's way over my head, but it's interesting.

Originally Posted by galactus

Did you ever see Wiles' paper?. It's crazy. 200+ pages of hierglyphs which only a handful of people could understand. For that matter, how would we know if he proved it or not.

That is my dream one day, to be able to follow it.
You need to be an expert in algebraic geometry, elliptic curves and modular forms to follow through.

Check out the story about Perelman's dissapearance here