Posted on 08/20/2006 3:13:20 AM PDT by TigerLikesRooster
Ping!
Those mathemeticians are a touchy lot.
In mathematics, the Poincaré conjecture is a conjecture about the characterisation of the three-dimensional sphere amongst three-dimensional manifolds. Loosely speaking, the conjecture surmises that if a closed three-dimensional manifold is sufficiently like a sphere in that each loop in the manifold can be tightened to a point, then it is really just a three-dimensional sphere. The analogous result has been known to be true in higher dimensions for some time.
The Poincaré conjecture is widely considered to be one of the most important questions in topology. It is one of the seven Millennium Prize Problems for which the Clay Mathematics Institute is offering a $1,000,000 prize for a correct solution.
After nearly a century of efforts, a series of papers by Grigori Perelman, following the program of Richard Hamilton, produced an outline for a solution. Following Perelman's work, several groups of mathematicians have produced works filling in the details for the full proof, though review by the mathematics community is ongoing.
http://en.wikipedia.org/wiki/Poincar%C3%A9_conjecture
Surely mathematicians are clever enough to figure out a way to set the good Doc and his mother up in a fine new house and an endowment to see to their care the rest of their days plus maybe some travel cards of significant size? Or perhaps emmigration to Israel?
Creative problem solving should be easy for mathematicians.
Give the good Doc his money whether he has sense enough to reach out and grasp it readily or not. He's earned it. All the more so given his humility.
Apparently, he doesn't want anything. My guess is that reclusive geniuses are best left alone to pursue their reclusive genius interests.
But, how good is he on his guzzintas?
Note that the sphere involved is the type with x^2 + y^2 + z^2 +w^2 =1, not x^2 + y^2 + z^2 = 1.
Whatever his wish is now, those who kicked him out of Steklov are in deep trouble, now that he became an international star.
...they can be moody...
Agreed. When he tries to talk to people, he probably feels like he's having a conversation with a bag of hammers - lol!
I wonder if his cold shoulderski from the institute is because of him being Jewish.
The AMS Notices article http://www.ams.org/notices/200608/comm-perelman.pdf contains links to this and various papers related to the Perelman study and efforts to validate it. Apparently there will be a brisk competition from some Chinese investigators for the Clay prize. Since Perelman has a history of turning down awards, this may make for an interesting discussion in the mathematics community - with both the Fields Medal and the Clay Millenium Problem prize at stake.
It looks to me like a lot of people had a lot to do with the cracking of this problem, and both Perelman and the Chinese analysts made important contributions, and so the "timing" becomes critical in settling the matter, which to me is an indication of the limitation of these awards processes. It was a "team effort" in the end, and some way should be found to reward the entire team of investigators who combined solitary study and communication of results to get to a clearer picture of the final solution.
The precedent that sticks in my mind (and I'm sure there are many others) is the work that Yuri Matiesevich did to complete the solution of Hilbert's 10th problem (Google it), building on an analytical apparatus that had been constructed shortly before by Julia Robinson. I attended an AMS conference on the Hilbert Problems at University of Northern Illinois (Dekalb, IL) in the 1980's where both of these people made presentations, so it was clear that they appreciated each other's contributions to the effort (they both publically said so). Yet Yuri got all the prizes because he took the "final step".
Jobless?! I'll hire him in a second to attempt to balance to my checkbook every month.
Yes, it usually goes to the one who resolved the aggravating last step of a problem.
I also heard a story that Kurt Goedel also worked on Hilbert 10th problem, and made a lot of progress alone, but refused to publish it because it was not complete.
Unfortunately, these types hate arithmetic.:)
I can't even figure out 2+2.....What's the answer? Anybody?
We have to do some years of study to appreciate the answer which is reportedly 1,000 pages long.:)
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