kottke.org posts about shingtungyau

Poincare conjecture battle continuesSep 18 2006

Last month I covered the hubbub surrounding the still-potential proof of the Poincare conjecture. The best take on the situation was a New Yorker article by Sylvia Nasar and David Gruber, detailing the barest glimpse of the behind-the-scenes workings of the mathematics community, particularly those involving Grigory Perelman, a recluse Russian mathematician who unveiled his potential Poincare proof in 2002 and Shing-Tung Yau, a Chinese mathematician who, the article suggested, was out for more than his fair share of the credit in this matter.

After declining the Fields Medal, the Nobel Prize of mathematics, Perelman has quit mathematics and lives quietly in his native Russia. Yau, however, is upset at his portrayal (both literally and literary) in the New Yorker article and has written a letter to the New Yorker asking them to make a prominent correction and apologize for an illustration of Yau that accompanied the article. From the letter:

I write in the hope of enlisting your immediate assistance, as well as the assistance of The New Yorker, in undoing, to the extent possible, the literally world-wide damage done to Dr. Yau's reputation as a result of the publication of your article. I also write to outline for you, on a preliminary basis, but in some detail, several of the more egregious and actionable errors which you made in the article, and the demonstrably shoddy "journalism" which resulted in their publication.

The letter, addressed to the two authors as well as the fact-checker on the article and CC'd to David Remnick and the New Yorker's general counsel, runs 12 pages, so you may want to have a look at the press release instead. A webcast discussing all the details of the letter is being held at noon on September 20...information on how to tune in will be available at Dr. Yau's web site. (thx, david)

Mathematical politics and the Poincare ConjectureAug 23 2006

As I mentioned yesterday, the New Yorker published an article by Sylvia Nasar1 and David Gruber about the recent proof of the Poincare Conjecture2. (Previous coverage in the NY Times and the Guardian.) The article, which is unavailable from the New Yorker's web site (they've now made it available), contains the only interview I've seen with Grigory Perelman, the Russian mathematician who published a potential proof of the conjecture in late 2002, gave a series of lectures in the US, and then went back to Russia. Since then, he hasn't communicated with anyone about the proof, has quit mathematics, and recently refused the Fields Medal, the most prestigious award that mathematics has to offer, saying:

It was completely irrelevent for me. Everybody understood that if the proof is correct then no other recognition is needed.

Meanwhile, a Chinese group of mathematicians, led by Shing-Tung Yau3, are claiming that Perelman's proof was too complicated and are offering a reworked proof instead of Perelman's. That is, they're claiming the first complete proof of the conjecture. Yau The active director of Yau's mathematics institute explained the relative contributions thusly:

Hamilton contributed over fifty per cent; the Russian, Perelman, about twenty five per cent; and the Chinese, Yau, Zhu, and Cao et al., about thirty per cent. (Evidently, simple addition can sometimes trip up even a mathematician.)

Clearly the Chinese gave more than 100% in solving this proof, but Yau is regarded by some mathematicians as attempting to grab glory that does not belong to him. John Morgan, a mathematician at Columbia University, says:

Perelman already did it and what he did was complete and correct. I don't seen anything that [Yau et al.] did different.

Yau wants to be associated with the proof of the Poincare Conjecture, to have China associated with it, and for his student, Zhu, to be elevated in status by it. The $1 million in prize money for the proof of the conjecture offered by the Clay Mathematics Institute can't be far from Yau's mind as well. For his part, Grigory Perelman won't say whether he'll accept the prize money until it is offered. Stay tuned, I guess.

[1] Nasar wrote A Beautiful Mind, a book about mathematician John Nash.

[2] Poincare (properly written as Poincaré) is pronounced Pwan-cah-RAY, not Poyn-care as I said it up until a few weeks ago.

[3] Yau proved a conjecture by Eugenio Calabi which gave birth to a highly useful mathematical structure called a Calabi-Yau manifold; Yau won the Fields Medal for it. The C-Y manifold is important in string theory and Andrew Wiles used it as part of his proof of Fermat's Last Theorem. In short, Yau is a mathematical stud, no question.

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