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Has The Poincare Conjecture Been Solved?

Zack Coburn writes "An article in the Boston Globe alludes to the Poincare Conjecture being solved, possibly. For those who are unfamiliar with the conjecture, the article gives a brief description: "To solve it, one would have to prove something that no one seriously doubts: that, just as there is only one way to bend a two-dimensional plane into a shape without holes -- the sphere -- there is likewise only one way to bend three-dimensional space into a shape that has no holes. Though abstract, the conjecture has powerful practical implications: Solve it and you may be able to describe the shape of the universe." Apparently Grigory Perelman may have proved it, which would mean a $1 million award from the Clay Mathematics Institute." We've previously discussed other possible Poincare proofs.

20 of 292 comments (clear)

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    1. Re:GNAA: Happy Nig Year by Anonymous Coward · · Score: -1, Troll

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  4. frist nye postz by lamery · · Score: -1, Troll

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  5. In 2002, I researched the COSMIC background by Amsterdam+Vallon · · Score: -1, Troll

    (First off, remember that us MATHEMATICANS DO IT SMOOTHLY AND CONTINUOUSLY.) Hehehe, wow, too many New Year's drinks. Anyway, on to the story.

    Last year I assisted with some research involving Poincare along with four other professors. We studied weak wide-angle temperature correlations in the cosmic MICROWAVE background.

    There exists a simple geometric model of a NON-INFINITE and NON-NEGATIVE curved space, which we call the POINCARE space.

    This may sound foreign to you, and I'd probably be worried if it didn't, but this POINCARE space can account for these observations with no fine-tuning.

    From our "Nature" (425 2003 593) article: "If confirmed, the model will answer the ancient question of whether space is finite or infinite, while retaining the standard Friedmann-Lemaitre foundation for local physics."

    So, yes, Poincare is VERY important, and this postulate as well as the query as to whether it's been appropriately solved has a HUGE impact on all kinds of other research (math, physics, computer science, etc.) such as this very research that I participated in.

    --

    Reply or e-mail; don't vaguely moderate. Ex-O'Reilly/MIT employee, now a full-time Google employee.
    1. Re:In 2002, I researched the COSMIC background by Anonymous Coward · · Score: -1, Troll

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    2. Re:In 2002, I researched the COSMIC background by Anonymous Coward · · Score: -1, Troll

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  7. will gnu millennium end corepirate nazi execrable? by Anonymous Coward · · Score: -1, Troll

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  8. mirror by Anonymous Coward · · Score: 1, Troll

    in case of slashdotting...

    BERKELEY, Calif. -- A reclusive Russian mathematician appears to have answered a question that has stumped mathematicians for more than a century.

    After a decade of isolation in St. Petersburg, over the last year Grigory Perelman posted a few papers to an online archive. Although he has no known plans to publish them, his work has sent shock waves through what is usually a quiet field.

    At two conferences held during the last two weeks in California, a range of specialists scrutinized Perelman's work, trying to grasp all the details and look for potential flaws.

    If Perelman really has proved the so-called Poincare Conjecture, as many believe he has, he will become known as one of the great mathematicians of the 21st century and will be first in line for a $1 million prize offered by the Clay Mathematics Institute in Cambridge.

    Colleagues say Perelman, who did not attend the California conferences and did not respond to a request for comment, couldn't care less about the money, and doesn't want the attention. Known for his single-minded devotion to research, he seldom appears in public; he answers e-mails from mathematicians, but no one else.

    "What mathematicians enjoy is the chase of really difficult problems," said Hyam Rubinstein, a mathematician who came from Australia to attend meetings at the Mathematical Sciences Research Institute in Berkeley and the American Institute of Mathematics in Palo Alto, Calif., hoping to better understand Perelman's solution. "This problem is like the Mount Everest of math conjectures, so everyone wants to be the first to climb it."

    The Poincare Conjecture, named after the Frenchman who proposed it in 1904, is the question that essentially founded the field of topology, the "rubber-sheet geometry" that looks at the properties of surfaces that don't change no matter how much you stretch or bend them.

    To solve it, one would have to prove something that no one seriously doubts: that, just as there is only one way to bend a two-dimensional plane into a shape without holes -- the sphere -- there is likewise only one way to bend three-dimensional space into a shape that has no holes. Though abstract, the conjecture has powerful practical implications: Solve it and you may be able to describe the shape of the universe.

    Dozens of the best mathematicians of the last century tried with all kinds of approaches to solve the conjecture. Some thought they had it for months, even years, but counter-examples and flaws just kept springing up. Simply-stated but elusive to prove -- like Fermat's Last Theorem -- this conjecture has spurred the development of whole branches of mathematics.

    A decade ago, after some work in the United States that colleagues described as "brilliant," Perelman gave up a promising career to work in seclusion in St. Petersburg. Although he appears occasionally, most recently for lectures at the Massachusetts Institute of Technology and several other US schools last spring, he keeps a very low profile.

    Even in mathematical circles, surprisingly little is known about him, and those who know him often don't want to speak publicly about his work.

    At any rate, he seems to have used his time alone wisely. While working out the Poincare Conjecture, Perelman also seems to have established a much stronger result, one that could change many branches of mathematics. Called the "Geometrization Conjecture," it is a far-reaching claim that joins topology and geometry, by stating that all space-like structures can be divided into parts, each of which can be described by one of three kinds of simple geometric models. Like a similar result for surfaces proved a century ago, this would have profound consequences in almost all areas of mathematics.

    As the foundation for his proof, Perelman used a method called Ricci flow, invented in the mid-1980s by Columbia University mathematician Richard Hamilton, which breaks a surface into parts and smooths these parts out, making

  9. ATTN - JOYCE by Anonymous Coward · · Score: -1, Troll

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  10. OMG, RKZ! THEY HIJAX0RED J00R ACCOUNTZOR! by Anonymous Coward · · Score: -1, Troll

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  11. PARENT IS TROLL, CHECK HISTORY, MOD DOWN by Anonymous Coward · · Score: -1, Troll

    like the fucking loser faggot he is

  12. Followup by Anonymous Coward · · Score: 0, Troll

    There is more coverage at the Smegma Research Institute's information page

  13. Re:MOD DOWN by Anonymous Coward · · Score: -1, Troll

    Is that you, Vallon? RKZ perhaps? Regardless, you are a pathetic cocksucker. I hope you witness your mother getting raped then killed, then raped again.

  14. Re:PARENT IS TROLL MOD DOWN by Anonymous Coward · · Score: -1, Troll

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  15. Re:I'd believe you... by Anonymous Coward · · Score: -1, Troll

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    s`________|_____________|________\|_______|_____s_ _
    e_\_______|_/_______/__\\\___--___\\_______:____e_ _
    x__\______\/____--~~__________~--__|_\_____|____x_ _
    *___\______\_-~____________________~-_\____|____*_ _
    g____\______\_________.--------.______\|___|____g_ _
    o______\_____\______//_________(_(__>__\___|____o_ _
    a_______\___.__C____)_________(_(____>__|__/____a_ _
    t_______/\_|___C_____)/______\_(_____>__|_/_____t_ _
    s______/_/\|___C_____)_______|__(___>___/__\____s_ _
    e_____|___(____C_____)\______/__//__/_/_____\___e_ _
    x_____|____\__|_____\\_________//_(__/_______|__x_ _
    *____|_\____\____)___`----___--'_____________|__*_ _
    g____|__\______________\_______/____________/_|_g_ _
    o___|______________/____|_____|__\____________|_o_ _
    a___|_____________|____/_______\__\___________|_a_ _
    t___|__________/_/____|_________|__\___________|t_ _
    s___|_________/_/______\__/\___/____|__________|s_ _
    e__|_________/_/________|____|_______|_________|e_ _
    x__|__________|_________|____|_______|_________|x_ _
    *_g_o_a_t_s_e_x_*_g_o_a_t_s_e_x_*_g_o_a_t_s_e_x_*_


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    Important Stuff: Please try to keep posts on topic. Try to reply to other people's comments instead of starting new threads. Read other people's messages before posting your own to avoid simply duplicating what has already been said. Use a clear subject that describes what your message is about. Offtopic, Inflammatory, Inappropriate, Illegal, or Offensive comments might be moderated. (You can read everything, even moderated posts, by adjusting your threshold on the User Preferences Page) If you want replies to your comments sent to you, consider logging in or creating an account.

    Important Stuff: Please try to keep posts on topic. Try to reply to other people's comments instead of starting new threads. Read other people's messages before posting your own to avoid simply duplicating what has already been said. Use a clear subject that describes what your message is about. Offtopic, Inflammatory, Inappropriate, Illegal, or Offensive comments might be moderated. (You can read everything, even moderated posts, by adjusting your threshold on the User Preferences Page) If you want replies to your comments sent to you, consider logging in or creating an account.

  16. MARK OWEN HATES GNAA by Anonymous Coward · · Score: -1, Troll

    MARK OWEN, future GNAA member?
    http://science.slashdot.org/comments.pl?s id=91172& cid=7850841
    http://science.slashdot.org/comments. pl?sid=91172& cid=7850834
    NUFF SAID.

    irc.webchat.org 6667 #spiderslair, #help.services

    say hi to Mark, Scottk, Thunderwoman, KC and his sluts.

    all statements fictional unless proven guilty buy the first anonymous poster to reply to this.

  17. Re:I'd believe you... by Anonymous Coward · · Score: -1, Troll

    Was Jesus a NIGGER?


    Many people are surprised to discover that Christ was a black man, but when one looks at Christ's lineage one discovers that He has numerous Hamatic Ancestors, with Tamar, Rahab, Ruth, Naomi, Bathsheba and Jezabel being the most notable.

    Here are the facts:

    • In ancient times, including Jesus' time, the Arabian peninsula was considered part of what we now call Africa, not "the Near East" or "the Middle East".
    • Christianity is frequently portrayed as "the White Man's religion". The truth is that most of the people in the Bible were people of color (i.e., not "Anglo"): Semitics, blacks, and Mediterranean, e.g., Romans.
    • In the United States today the general view on whether someone is "black" is the One-Drop Rule -- if a person has any black ancestors s/he is considered "black", even with a clearly Anglo skin color, e.g., Mariah Carry, Vanessa L. Williams, LaToya Jackson.
    • Jesus' male ancestors trace a line from Shem. However, ethnically and racially, they were mixed Semitic and Hamitic from the times spent in captivity in Egypt and Babylon. Rahab and probably Tamar were Canaanites. Although Canaanites spoke a Semitic language, they were descendants of Ham through his son Canaan. Bethsheba, who had been the wife of Uriah the Hittite, probably was a Hamitic (black) Hittite herself.

    GNAA (GAY NIGGER ASSOCIATION OF AMERICA) is the first organization which
    gathers GAY NIGGERS from all over America and abroad for one common goal - being GAY NIGGERS.

    Are you GAY ?
    Are you a NIGGER ?
    Are you a GAY NIGGER ?

    If you answered "Yes" to any of the above questions, then GNAA (GAY NIGGER ASSOCIATION OF AMERICA) might be exactly what you've been looking for!
    Join GNAA (GAY NIGGER ASSOCIATION OF AMERICA) today, and enjoy all the benefits of being a full-time GNAA member.
    GNAA (GAY NIGGER ASSOCIATION OF AMERICA) is the fastest-growing GAY NIGGER community with THOUSANDS of members all over United States of America. You, too, can be a part of GNAA if you join today!

    Why not? It's quick and easy - only 3 simple steps!

    First, you have to obtain a copy of GAY NIGGERS FROM OUTER SPACE THE MOVIE (Click Here to download the ~280MB MPEG off of BitTorrent)

    Second, you need to succeed in posting a GNAA "first post" on slashdot.org, a popular "news for trolls" website

    Third, you need to join the official GNAA irc channel #GNAA on EFNet, and apply for membership.
    Talk to one of the ops or any of the other members in the channel to sign up today!

    If you are having trouble locating #GNAA, the official GAY NIGGER ASSOCIATION OF AMERICA irc channel, you might be on a wrong irc network. The correct network is EFNet, and you can connect to irc.secsup.org or irc.easynews.com as one of the EFNet servers.
    If you do not have an IRC client handy, you are free to use the GNAA Java IRC client by clicking here.

    If you have mod points and would like to support GNAA, please moderate this post up.

    This post brought to you by RKZ , a proud member of the GNAA

    I am protesting Slashdot's chronic abuse of its readers and subscribers. Please visit www.anti-slash.org and help us!
    G_____________________________________naann_______ _____