Poincare Hypothesis Proof (Maybe?)

In summary, The New York Times published an article about a Russian mathematician who claims to have proved the Poincare Hypothesis. The proof also includes further reaching results, with the proof of Poincare's Hypothesis being a part of it. The article also mentions Andrew Wiles' proof of FLT, which had a flaw that was later fixed with the help of one of his students. Wiles' proof is now considered valid.
  • #1

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
 
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  • #2
excellent
 
  • #3
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?
 
  • #4
it's valid today. he did fix it.
 

1. What is the Poincare Hypothesis?

The Poincare Hypothesis, also known as the Poincare Conjecture, is a famous unsolved problem in mathematics that aims to determine whether every simply-connected, closed 3-dimensional manifold is homeomorphic to a 3-sphere.

2. Who proposed the Poincare Hypothesis?

The Poincare Hypothesis was proposed by French mathematician Henri Poincare in 1904.

3. Why is the Poincare Hypothesis important?

The Poincare Hypothesis is important because it has applications in many areas of mathematics, including topology, geometry, and physics. It also has implications for our understanding of the universe and its shape.

4. Has the Poincare Hypothesis been proven?

Yes, the Poincare Hypothesis was proven by Russian mathematician Grigori Perelman in 2002-2003. However, his proof has not yet been fully accepted by the mathematical community and is still undergoing review.

5. What is the current status of the Poincare Hypothesis?

The Poincare Hypothesis is currently considered to be solved, but the proof is still being reviewed and verified by mathematicians. It is also still an active area of research, with mathematicians exploring different aspects and implications of the proof.

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