It’s been a busy week in science (and in my life too…) so I’ll just put a brief links and descriptions for now… Let’s call it a Top 3 of the week!
Every simply connected closed (i.e. compact and without boundary) 3-manifold is homeomorphic to a 3-sphere.
For most people, it doesn’t mean anything. However, no one has been able to make a proof of this statement since Henri Poincaré announced it in 1904. The Clay Mathematics Institute selected this problem as one of the seven Millenium problems, which were linked to a reward of 1,000,000$ each. In late 2002, a rumour started to arise that a russian mathematician, Grigori (Grisha) Perelman found a solution to the problem. In the ICM (international congress of mathematics) in August in Madrid, his 3 papers were on the agenda. They decided to award him (in part) the Fields Medal, widely considered as the Nobel Prizes for Mathematics. He however refused, but the reasons for his refusal were not made available. On top of that, the whole political world of mathematics and, by extension, of higher research is surfacing, which is not pretty at all.
If you feel brave enough, you can check the Clay Institute Homepage, which now gives a detailed exposition about the Poincaré Conjecture and especially the works of Perelman.
August 27th, 2006 | General Science | 1 comment
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