Who solved the Poincare Conjecture?
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Who solved the Poincare Conjecture?
Grigori “Grisha” Perelman
Russian mathematician Grigori “Grisha” Perelman was awarded the Prize on March 18 last year for solving one of the problems, the Poincaré conjecture – as yet the only one that’s been solved. Famously, he turned down the $1,000,000 Millennium Prize.
Has the Poincare Conjecture been proven?
Poincaré conjecture, in topology, conjecture—now proven to be a true theorem—that every simply connected, closed, three-dimensional manifold is topologically equivalent to S3, which is a generalization of the ordinary sphere to a higher dimension (in particular, the set of points in four-dimensional space that are …
Who proved the Poincare Conjecture in 2002?
Grigori Perelman
After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.
When did Grigori Perelman prove the Poincare Conjecture?
2006
In 2006 Grigori Perelman was awarded a Fields Medal for proving Poincaré’s conjecture true in three dimensions,…… Finally, Grigori Perelman proved the conjecture for three dimensions in 2006. All of these achievements……
What is the solution to the Poincare Conjecture?
If we stretch a rubber band around the surface of an apple, then we can shrink it down to a point by moving it slowly, without tearing it and without allowing it to leave the surface.
What is Poincaré conjecture used for?
The Poincare Conjecture is essentially the first conjecture ever made in topology; it asserts that a 3-dimensional manifold is the same as the 3-dimensional sphere precisely when a certain algebraic condition is satisfied. The conjecture was formulated by Poincare around the turn of the 20th century.
What is Poincare Conjecture used for?
Who refused the Fields Medal?
| Grigori Perelman | |
|---|---|
| Known for | Riemannian geometry Geometric topology Proof of the soul conjecture Proof of the Poincaré conjecture |
| Awards | Saint Petersburg Mathematical Society Prize (1991), accepted EMS Prize (1996), declined Fields Medal (2006), declined Millennium Prize (2010), declined |
| Scientific career | |
| Fields | Mathematics |
What is the solution to the Poincaré conjecture?
Who created the Hodge conjecture?
mathematician William Hodge
The conjecture was first formulated by British mathematician William Hodge in 1941, though it received little attention before he presented it in an address during the 1950 International Congress of Mathematicians, held in Cambridge, Mass., U.S. In 2000 it was designated one of the Millennium Problems, seven …