New Yorker on Perelman and Poincaré Controversy
b4stard writes "The New Yorker has an interesting article on the recent proof of the Poincaré conjecture and the controversy surrounding it. This is a very nice read, which, among other things, sheds some light on what may have motivated Perelman in refusing to accept the Fields medal." From the article: "The Fields Medal, like the Nobel Prize, grew, in part, out of a desire to elevate science above national animosities. German mathematicians were excluded from the first I.M.U. congress, in 1924, and, though the ban was lifted before the next one, the trauma it caused led, in 1936, to the establishment of the Fields, a prize intended to be 'as purely international and impersonal as possible.'"
Is it so hard to understand that some people do things just because they love to, and don't like the burdens that come with fame?
You have got the wikipedia link wrong. You meant: http://en.wikipedia.org/wiki/Grigori_Perelman
not necessarily for his typical genius mathematician nutty professor image (from which this behavior seems to stem; see Einstein's quick switch from young stud to crazy haired geek, on purpose), but because of the interest it seems to be reawakening in Mathematics.
I used to carry a bottle of whiskey for snake bite. And two snakes. -Nefarious Wheel
I have discovered a truely marvelous demonstration of the Poincaré conjecture that this blog is too narrow to contain.
The Fields Medal, like the Nobel Prize, grew, in part, out of a desire to elevate science above national animosities.
And dynamite. Pretty much the coolest invention ever. I don't know why anyone wouldn't list that first.
The theory of relativity doesn't work right in Arkansas.
I thought he was a church pastor living in Ravenholm... huh... learn something new everyday.
Give it a rest, Yau.
I find the parallels between Perelman's proof of Thurston's Conjecture and Wiles proof of Fermat to be compelling:
Obviously the standing of Wiles and Perelman in the mathematical community couldn't be more different. Lets hope Perelman accepts an academic position somewhere so he can carry on his work with the honor he deserves.
The attempts by the Chinese to claim proof of Poincare is disgusting.
an ill wind that blows no good
i know this is probably hard for indoctrinated Americans to understand.
It's probably even harder for indoctrinated non-Americans to understand that the vast majority of Americans aren't particularly narcissistic, or remotely wealthy. At this point, in fact, the bulk of us are starting to get pretty damn sick and tired of both those SUV-driving narcissistic fuckwits that we have to contend with on the way to work every day, and judgmental foreigners that insist upon treating America (of all countries) as a monolithic culture.
But so far as refusing the prize is concerned, you're right, I'm sure he has that satisfaction. But, contrary to popular belief, the academic/scientific world is just as rife with dissent, personalities and politics as any other human endeavor. Consequently it's quite likely he refused the prize because he was pissed off about something or someone.
The higher the technology, the sharper that two-edged sword.
It is reassuring to see someone state this every now and again. I must get a T-shirt printed.
What exactly is narcissistic or greedy about a person humbly accepting an honor accorded them by their peers? You don't even have to show up to politely say "Thank you, but I prefer not to be in the spotlight, please donate the award money to $CHARITY or $SCHOLARSHIP or $WHATEVER."
I wasn't indoctrinated by my American parents to be particularly narcissistic or greedy, but I was indoctrinated to be gracious when someone in good faith offers you a gift or award.
Not that I care about whether this particular guy wants an award or not, but the implication that all good-hearted folk would refuse to humbly accept awards or accolades is pretty goofy.
The funny part is Perelman will be remembered in the field of mathematics as much for his integrity as for his accomplishment. Whereas Yau will probly be relegated to obscurity...
http://mitbbs.com/mitbbs_article_t.php?board=Mathe matics&gid=10840706&ftype=0
I'll paste just the English version here so everybody can have a look:
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From Dan Stroock at MIT:
Clarification
I, like several others whom Sylvia Nasar interviewed, am shocked and angered by the article which she and Gruber wrote for the New Yorker. Havingseen Yau in action during his June conference on string theory, Nasar ledme to believe that she was fascinated by S-T Yau and asked me my opinionabout his activities. I told her that I greatly admire Yau's efforts tosupport young Chinese mathematicians and to break down the ossifiedpower structure in the Chinese academic establishment. I then told her that I sometimes have doubts about his methodology. In particular, I toldher that, at least to my ears, Yau weakens his case and lays himself opento his enemies by sounding too self-promoting. As it appears in her article, she has purposefully distorted my statementand made it unforgivably misleading. Like the rest of us, Yau has hisfaults, but, unlike most of us, his virtues outweigh his faults.Unfortunately, Nasar used my statement to bolster her casethat the opposite is true, and for this I cannot forgive her.
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From Michael Anderson at Stony Brook:
Dear Yau,
I am furious, and completely shocked, at what Sylvia Nasar wrote. Her quote of me is completely wrong and baseless. There are other factual mistakes in the article, in addition to those you pointed out. I have left her phone and email messages this evening and hope to speakto her tomorrow at the latest to clear this up. I want her to remove this statement completely from the article. It serves no purpose and contains no factual information; I view it as stupid gossip unworthy of a paper like the New Yorker. At the moment, the print version has not appeared and so it might be possible to fix this still. I spent several hours with S. Nasar on the phone talking about Perelman, Poincare , etc but it seems I was too naive and I'm now disgusted in believing this journalist would report factually. I regret very much this quote falsely attributed to me and will do whatever I can to have it removed. I will keep you informed as I know more.
Yours, Michael
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More clarification from Anderson:
Many of you have probably seen the New Yorker article by Sylvia Nasar and David Gruber on Perelman and the Poincare conjecture. In many respects, its very interesting and a pleasure to read. However,it contains a number of inaccuracies and downright errors. I spent several hours talking with Sylvia Nasar trying to dissuade her from incorporating the Tian-Yau fights into the article, since it was completely irrelevant and I didn't see the point of dragging readers through the mud . Obviously I was not successful. The quote attributed to me on Yau is completely inaccurate and distortedfrom some remarks I made to her in a quite different context; I made itexplicit to her that the remarks I was making in that context were purely speculative and had no basis in fact. I did not give her my permission to quote me on this, even with the qualification of speculation. There are other inaccuracies about Stony Brook. One for instance is theimplication that Tian at MIT was the first to invite Perelman to the USto give talks . This is of course false - we at Stony Brook were the first to do so. I stressed in my talks with her the role Stony Brook played,yet she focusses on the single talk Grisha gave at Princeton, listing a collection of eminent mathematicians, none of whom is a geometer/topologist. I was not given an opportun
Perelman did not leave his position at the Steklov Institute as the article suggests, but rather, he was not allowed to return to his position. I believe that he already had a fairly reclusive and modest personality, and as was pointed out by the Sydney Morning Herald, the extremity of this nature was prompted when the faculty of the Steklov Institute declined to re-elect him as a member; his peers and close colleagues rejected him, the paper quotes a friend as saying that Perelman was made to feel as an "absolutely ungifted and untalented person". Wikipedia has more, saying that this stemmed "apparently in part out of continuing doubt over his claims regarding the geometrization conjecture".
There are few things more bitter than being betrayed by one, let alone a majority or all of your associates. I know all too well how that kind of utterly profound pain can easily turn one of your greatest passions in life (be it a pursuit or a person) into a source for nothing other than misery.
Ex nihilo nihil fit.
Perelman will be the one that goes down in history as the one that solved the conjecture to a satisfactory degree, no matter who else releases papers that pretend that his work was incomprehensible. That sort of argument doesn't really stand up very well, anyway; if it were easy to understand, it's likely someone would have trivially solved it earlier. The Chinese may very well have an army of extremely competent mathematicians, and two or three of them may have cleaned up Perelman's work to be a little more friendly to the mathematics community at large, but I suspect that Perelman will be the name that everyone remembers.
He's done his bit, people will remember him, and he'll get to work on more mathematics. He doesn't care, so I don't think we should care either. On to the next (apparently) intractable problem!
I would consider Yau's attitude, if the New Yorker piece is accurate, to be academic fraud, plagarism and the wilfull falsifying of results - any of which are severe enough in academia to warrant the nullification of previous awards, even if these took place afterwards. There have, in fact, been cases where doctorates have been revoked by the awarding University in England as a result of later scholarly abuses. They are certainly sufficiently serious that any professional mathematical society to which Yau belongs should investigate matters for possible disciplinary action should they be true.
(Sure, you can't do much. The military can court-martial, the Government can haul you off to Gitmo, but the mathematician's union is a little more limited. They could probably ban him from conferences they specifically held, and they could probably lean on journals to be more careful in refereeing his work, but that's about it. Well, actually, given his ego, they could probably take out an ad in a major Chinese newspaper, satirizing him. That could probably do him more damage than any official action.)
Personally, I think the Fields medal should have been awarded to Perelman specifically BECAUSE he refused it. They can't make him accept it - but that's what Swiss bank safety deposit boxes are for. On the other hand, they need to make it clear - to him and to everyone else - that mathematics is about truth, and truth has nothing to do with who accepts what. If a proof is correct, then it is correct and that is the end of the matter. Neither politics nor personalities have any say in it.
Furthermore, yes, it does turn him somewhat into a figurehead. And which would YOU prefer to be the role-model for all future mathematicians - the egomaniac or the gentleman? I'd argue that the sciences (and I include maths as a science) need to emphasise honesty, integrity and quality. Most here are computer programmers, or at least familiar with programming, so it would perhaps make sense to liken this to code. Would you rather a program work right (even if it's hard to understand), or be broken and/or stolen (even if it's made easy)? (I'll let you pick which OS' I am referring to, and which one I believe to be inherently superior.)
Perelman's proofs might be "high magic" in the coder's sense of being so hard very few (to none) can understand it, but I fail to see why that should be a problem. If anything, it is proof of the quality of his intellect and instinct. Those who reject that which they cannot understand are superstitious peasents. (Ok, that's a bit of a troll, but it's also true. You cannot learn that which you already understand, so it is only by not understanding that you are capable of learning. Thus, only the intelligent admit ignorance and only the ignorant claim certainty.)
Yau has claimed that he does not understand the proof. So where does the problem lie - with pto proof or Yau? Well, obviously Yau. If the problem was the proof, then Yau could establish where the error was that resulted in the proof being nonsense. The inability to establish such a proof does not mean that Perelman's work is perfect, only that it is beyond Yau to make any claims about it whatsoever. Were I to write a flawless program in raw assembly, would flaws magically apear if someone who could not read assembly state that it was incomprehensible to them? That would be stupid.
This entire dispute cuts to the heart of ALL theoretical and practical sciences and SHOULD be examined in depth by all official bodies with any degree of say in the matter. Perelman should NOT be permitted to walk away and play victim. If he is a victim of academic fraud, then academia has a responsib
It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
The article may be biased but you can always discern some truth.
1. Perelman is unconcerned with fame and praise.
2. Yau is concerned with fame and praise.
3. Perelman did most the finishing work on the Poincaire conjecture.
4. Yau and co. released a paper on Perelman's work with only passing mention of Perelman.
5. Perelman feels scorned and isolated.
The best education consists in immunizing people against systematic attempts at education. - Paul Feyerabend
You're kidding me, right? You may be right about Perelman but Linus has been political from day one.
Please, for the good of Humanity, vote Obama.
25% Perelman
30% Yau & Co.
Yau himself never said this. It's another renown Chinese mathematician (named Yang, Le) that was quoted by a Chinese jornalist. I guess journalists all over the world are just the same: they keep misquoting people. Hard to imagine a real mathematician would make this kind of stupid mistake. This quote has actually become a well-known joke on the journalists on Chinese web-forums and blogs.
High level math books rarely get updated. My topology book was 16 years old, the differential geometry book 20. There isn't enough volume to justify a new press run, plus they would have to reconsider how much information to include and fix the mistakes. The proffessor I had just had us write in the corrections. Its also why the 20 year old book still costed $125.
Well.. maybe. Or Maybe not. But Definitely not sort of.
I did just crack open Munkres to check, second edition in 2000, and my Intro to Diff Manifolds book had a new edition in 2005. The old standby Do Carmo is still hovering back in the 80s, though, and if Munkres mentions Poincaré it's only in passing (plus, what, two editions in 25 years?). You're right, of course, just a bit bitter about dropping $385 on texts today, hehe, two of which just reprinted so I have mismatched editions.
To many of us involved in the field, this article is right on. Yau has done great work and remains a dynamic force in the field. But as he has advanced from his prime years he has focused more and more on administration rather than mathematics, in an attempt to stay relevant (not unheard of in the sciences and maths). The article accurately portrays him as a man who now finds reward in the political machinations of his field rather than the joy of discovery.
He remains brilliant and is adept at his new focus, which makes him dangerous. The Fields Medal and Harvard platform give him a lot of power to retaliate against people he perceives as enemies to his legacy. And he has a chip on his shoulder...ok he's always had a chip on his shoulder but in the old days he'd satisfy it by the maths, not by this sort of dirty pool.
I for one would never speak up against him with my name signed to it. I don't blame (or envy) Mike or Dan for the damage control they're faced with now that what they thought were private remarks have been made public. But it doesn't change the accuracy of the story. Off the record there are few in the field who would disagree with saying that Yau and his students are making an unwarranted grab for credit that is not theirs. But confronting Yau on the record is not smart unless you've got a Fields and Ivy professorship yourself (fat chance that for me).
The article tells only part of the story. I cannot claim I know the whole story. One has to know what is going on in the Chinese academic community to understand why this happened. Hopefully some chinese academics on the board will help to shed more light on this situation. I happened to work with an alum of Peking University who gave me some insights into the world of Chinese politics. I will try to tell my understanding of the full story. Dr. Yau is a very talented and prolific mathematitian. He made major contributions to several fields of Math and Physics. He educated tens of grad students (many of them are professors at top schools) and won almost every prize in Math. He is probably a better mathematician than Grisha Perelman will ever be. From what i hear from my co-worker Dr.Yau has always wanted to be known as top Chinese mathematician or even scientist, the "king". Here a post from a chinese bbs i found though google. ----- Stage 0: Poincare, the prophet, told people that there exists a tunnel which would go from this side of the mountain to the other side of the mountain. Stage 1: Poincare announced that he found a mistake and that the tunnel he found could not go through the mountain but maintained his belief that there still exists such a tunnel yet to be found. This conjectured tunnel was then named "Tunnel of Poincare". Stage 2: Many pioneers went out trying to find such a tunnel but failed. However, some of them (Stallings, Zeeman, Smale, Freedman) did find similar tunnels in other mountains. Stage 3: Perelman, the monk, told people that he had found Tunnel of Poincare in the mountain that Poincare himself failed, and that he laid out 30 trail marks at various places in the tunnel so that other people could go through by themselves. Stage 4: Cao and Zhu were teamed up as an expedition to explore the feasibility of Perelman's tunnel. They were able to go through indeed and they laid out more than 300 trail marks along the tunnel which eases the pass greatly. Stage 5: Yau, the king, announced that the ultimate discovery of Poincare Tunnel was finally made by Cao and Zhu, and emphasized the importance of the "Perelman Method" (called by Cao-Zhu "Hamilton and Perelman's Ricci flow theory"). Stage 6: Celebration. ------ However, the Chinese academic establishment (my friend referred to them as the Peking University camp) considers him as an outsider. Yau has been trying to attack the opposition be claiming that his grad students are better mathematicians than the "corrupt" academics from the PKU camp. He just needed some major result for a PR stunt. Perelman just happened to come up with his proof in the wrong time. After reading the article one might think that Yau tried to get some credit for proving the conjecture. Yau never actually tried to claim that he proved the conjecture. But he did try to steal some of Perelman's fame for his students to show that under his guidance chinese mathematicians can produce world class results. However, what was meant to be a local PR trick spilt arcoss the borders and ended up in New Yorker. The Yau camp is strong too, by the way. The article was posted a couple of days ago and every blog that linked it has anonymous postings with emails supporting Yau, e.g. see a few posts above.
"He is probably a better mathematician than Grisha Perelman will ever be"
When I read the aforementioned statement, you lost all credibility. You are discrediting your thesis with such a biased opinion. Yes, Yau is a great mathematician, but so is Perelman.
Anyhow, most of your post is copy-paste of ramblings from some random BBS. It doesn't seem to have much substance.
Classic. I complain about a particular class of four-wheeled headcases and one of them comes back and demonstrates precisely what I was talking about.
... I kept track for about six months of the type of vehicles I would see involved in traffic accidents to and from work (at the time I commuted about 75 miles daily on the expressway.) Fully 80% of the accidents I saw involved SUVs, often multiple SUVs. That's because, as a class, SUV owners don't fucking know how to drive and worse, use the relative difference in the size of their cars to intimidate drivers of smaller vehicles. I don't particular care what your particular mode of transportation is, whether it's called a "car", a "truck", a "van" or an "SUV", but the unfortunate reality is that SUVs are driven by a class of people who are, by and large, discourteous, threatening, and generally unpleasant to be around. Did I mention sociopath?
Personally, I drive a full-length mini-van, which I've found is far more pragmatic (certainly I get better mileage than many SUVs and have a ton of cargo space.) The reason I drive a mini-van rather than an SUV is that I do have a need to haul equipment and people around now and then, but have no need to prove anything to anyone about anything.
And don't try to justify your desire to be the biggest goddamn passenger vehicle around in order to feed your obviously massive ego by telling me how "practical" your SUV is. There's no "utility" in SUV. It's strictly a luxury vehicle for men with tiny packages and women who wish they had even that. Truth is, Affliction, that you picked the perfect nick for an SUV driver, because those machines and the criminally-negligent sociopaths that drive them are a blight on the highways. They're a danger to themselves and others
I'm sorry (actually, I'm not, because you sure sound like a typical SUV owner) but if you don't want to be put in the category of "rolling four-wheeled dick" your best bet is simply not to drive one. A friend of mine came up with a solution for the problem of Excursions and Yukons and all the rest of those overpowered, underbrained examples of conspicuous consumption: require CV (Commercial Vehicle) licenses in order to drive them. Maybe the extra training required will teach you little pricks something about safety and the fact that you don't own the goddamn road.
Have a nice day.
The higher the technology, the sharper that two-edged sword.
What do old Mathematicians do, they can't all become academics, administrators and/or actuaries...
What do old computer scientist do, they can't all become academics, managers and/or administrators...
Youth is wasted on the young.
I thought an Engineering degree and computer science work would be applied enough and be structured enough to look like a reasonable career choice. It is not I am still looking for something that will suit me better, should I have shot for the moon, done pure maths and ended up a school teacher (not a well respected or well paid position in these parts. My father had the same choice having been best in his school at mathematics, there were few computers in 1960, so he followed in his fathers footsteps and did medicine, maybe my recently born kid can follow his star, shine brightly and live on welfare after his short bright career fades.
Be Free: Free Software Tuition
Yes, I have to agree with pedantic bore's translation:
Michael T. Anderson (SUNY at Stony Brook) probably thought that he would not be quoted, that his ideas were going to be presented without a direct link to his name. As I'll explain he seems to have had enough motives to use this opportunity to execute his own vendetta against Shing-Tung Yau (Harvard) by instigating reporters to deviate from main topic of the Poincaré Conjecture and Thurston's Geometrization conjecture to an indictment of Yau, and his work.
In my opinion there is little doubt that the article by Gruber and Nasar is grossly biased against Shing-Tung Yau, and to a lesser extent to his collaborators, including Richard S. Hamilton (Columbia). However I don't think that it is correct to blame only the reporters for this. I believe in spite of claims that the quotes are inaccurate, out-of-context, ... they are probably correct. It is common for reporters to face such claims and professionals are normally prepared for possible denials. In fact, we might find out that everything said in this case is recorded on tape.
If we are willing to assume that the quotes are correct, then the question remains: why Nasar and Gruber came up with an article so denigrating of Yau, Hamilton, and/or Chinese mathematics? Most likely they were led into this direction by the people they interviewed.. This does not completely clear them, since they did fail miserably in investigating the possible reasons those interviewed had for badmouthing Shing-Tung Yau and his collaborators.
I'll present just one single example to make my point. To some in the field it has been known that for many years Mike Anderson had also been behind proving Thurston's Geometrization Conjecture, and hence Poincaré's Conjecture. He wrote several extremely long papers and claimed to have proved the conjecture. People were a little suspicious about Anderson's work mainly because it did not involve any new ideas, and because it was so long and almost repetitive. To honor what appeared to be a tremendous achievement by Michael T. Anderson, Shing-Tung Yau, in a very generous and friendly gesture promised to dedicate at least one issueof the Journal of Differential Geometry [JDG] in its entirety exclusively to Anderson's work. Yau is the Editor-in-Chief of this prestigious publication. In contrast with Perelman's choice, Anderson did not post his articles at arxiv.org, or made them very widely available. After the announcements and celebrations the review process started in secrecy, Anderson was probably afraid somebody might fix his gaps and find and fix errors, forcing him to share the honor. However after a few months problems appeared with Anderson's work. Whether they were serious or not is not for me to say. But Yau reluctantly decided that Anderson's work was not up to the high standards of the JDG, and explicitly told him to look for another place to publish his work. Assuming he could fix it.
Mike Anderson sincerely believed he had solved the problem of the century. He even had a celebration at the end of his sequence of summer lectures at Stony Brook, with food and champagne. Peter Zograf (Steklov Mathematical Institute, Saint Petersburg), Dennis Parnell Sullivan (CUNY), and other well known mathematicians were present. Some where privately a little skeptic, but they honored Anderson anyway. After having received all this recognition, and in spite of the existence of objections by the referee, it was probably very hard for Anderson to swallow Yau's refusal to allow his paper to appear in the Journal of Differential Geometry, probably the most prestigious publication for geometers. Anderson appealed Yau's decision. He even tried to get other mathematicians to intercede. But Yau did not see any reasons to change his opinion. At that moment Anderson might have felt that Yau was acting "as a king" b