Poincare Hypothesis Proof (Maybe?)

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    Poincare Proof
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Discussion Overview

The discussion centers around a recent claim by a Russian mathematician regarding a proof of the Poincare Hypothesis, with references to Andrew Wiles' proof of Fermat's Last Theorem (FLT) and its historical context. The scope includes theoretical mathematics and the validity of proofs in the mathematical community.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants mention a New York Times article about a Russian mathematician claiming to have proved the Poincare Hypothesis, suggesting that the proof encompasses broader results.
  • One participant expresses interest in the validity of Andrew Wiles' proof of FLT, noting that a flaw was found and subsequently fixed.
  • Another participant asserts that Wiles' proof of FLT is considered valid today after the flaw was addressed.

Areas of Agreement / Disagreement

There is a general agreement that Wiles' proof of FLT is now considered valid, but the discussion about the Poincare Hypothesis remains exploratory with no consensus on its proof.

Contextual Notes

The discussion includes references to historical flaws in proofs and the ongoing evaluation of mathematical claims, highlighting the complexity and evolving nature of mathematical validation.

climbhi
The New York Times did an article today about a Russian mathemetician who claims to have proved the Poincare Hypothesis. In good Andrew Wiles fashion his proof is actually much further reaching results with the actuall proof of Poincare's Hypothesis dropping out of the larger result. Thought you might want to check it out: http://www.nytimes.com/2003/04/15/science/15MATH.html
 
Mathematics news on Phys.org
excellent
 
This article talked a little about Andrew Wiles proof of FLT too. It mentioned that a flaw was found in it and that he worked for months to fix it with one of his students. I've heard all sorts of things about Andrew Wiles's proof. So maybe some one can set the record straight for me. Is Andrew Wiles's proof of FLT considered valid today, or is it still thought of as flawed?
 
it's valid today. he did fix it.
 

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