6 Jun 2006 0:49:05 UTC

Topic 191333

(moderation:

According to the Italian newspaper 'La Repubblica" (www.repubblica.it) which cites the June issue of the Asian Journal of Mathematics, the Poincare' Conjecture on the topological properties of the n-sphere has been proven by two Chinese mathematicians, Zhu Ziping and Cao Huaidong, Such a result is worth a million dollar prize by the Clay Institute, the newspaper reports, since it is one of the seven Millenium problems (not to be confused with the Hilbert list of problems, which dates 1900). The Conjecture was put forward by Jules Henri Poincare' in 1904. So it seems that topology has some practical utility...

Tullio

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## Poincare' Conjecture

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Here's some sort of explanatory link (not that I understood a word of it!!!):

The PoincarÃ© conjecture

Clay Mathematics Institute

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## Hereâ€™s another summary,

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Hereâ€™s another summary, including a substantial list of references:

Eric W. Weisstein. "PoincarÃ© Conjecture." From MathWorld--A Wolfram Web Resource.

## There is a readable article

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There is a readable article on the online NYTimes 14 August edition (registration required). It looks like the conjecture proof first advanced by the Russian mathematician G.Perelman shall be discussed this week in an International Mathematical Union conference held in Madrid.

Tullio

## Story in The Times (uk) today

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Story in The Times (uk) today that Perelman has solved it and is not interested in material things so is unlikely to claim the prize or any awards that go with it.

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## did i understand right that

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did i understand right that Perelman has proved a more general theorem than Zhu Ziping and Cao Huaidong did ? Or do i miss something here?

## RE: did i understand right

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Frankly, I cannot answer this question. The article in the La Repubblica paper did not even mention Perelman's name, while the New York Times article is centered about Perelman and makes only a passing reference to the two Chinese scientists.

Maybe a professional mathematician could answer this, I am only a physicist. Cheers.

Tullio

## RE: RE: did i understand

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According to a New Scientist article, Perelman is going to refuse to accept the Fields Medal, the mathematicians' Nobel, which should be presented to him by the King of Spain on August 22. In doing this he would follow the steps of Alexander Grothendieck, who refused it for political reasons, but later accapted it. Nobody knows where Perelman is now.