Has the Poincaré Conjecture Been Proven? A Review of the Proposed Proof

AI Thread Summary
The Poincaré Conjecture has been proposed as solved by Grigori Perelman, but his proof has not been formally published in a journal, which affects his eligibility for the Clay Millennium Prize. Recent discussions indicate that while the proof is believed to be correct, it remains under review and has not been confirmed by the broader mathematical community. Perelman has chosen to circulate his findings privately rather than pursue public recognition or financial reward. There is speculation that the Clay Mathematics Institute may make an exception for him regarding the prize. Overall, the status of the proof remains uncertain, with no recent updates on its validation or Perelman's claims.
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http://www.cnn.com/2004/US/West/01/07/math.mystery.ap/
 
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It simply says "may", it still isn't confirmed whether he claimed the Clay prize.
 
Icebreaker said:
It simply says "may", it still isn't confirmed whether he claimed the Clay prize.

Right. I just thought in case you hadn't seen that article, that you would like too.
 
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why don't you read the articels and find out?
 
I have read it; one of them is a year old, and the other is two.
 
"Russian may have solved great math mystery"

Heh. After over a year I still think that is the dumbest title I've ever seen
 
if you have read it, can you tell us if you believe the proof is correct?
 
  • #10
The articles themselves do not offer any details about the proof.
 
  • #11
do you mean the proof is not published?
 
  • #12
As far as I can see (from the articles), Perelman did not publish his results in any journals, and only circulated them to mathematicians whom he knows. Consequently, he is not technically eligible for the Clay prize, but there is word that Clay may eventually make an exception in his case. That was last year; I haven't any more recent news.
 
  • #13
He probably is not doing it for the money though. Maybe that's why he's doing it the way he is doing it.
 
  • #14
He definitely isn't doing it for money and isn't publicising it either. He had declared so earlier or so i read in one of the articles once. (Quite contrary to Mr De Branges :p). The proof is believed to be correct and i think it would be under controlled review for some more time, before it is published.

You may read a nice review of the conjecture and the proposed proof here,
http://www.ams.org/bull/2005-42-01/S0273-0979-04-01045-6/S0273-0979-04-01045-6.pdf

I daresay, i understand that (i mean its all greek to me). But still a nice read, if u are to able to read "Unabridged Dictionary" as "Under the bridge with dick and harry". :)

-- AI
 

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