In details

Poincaré Conjecture


Formulated at the beginning of the twentieth century by the French mathematician Henri Poincaré, the Poincaré conjecture is one of the most famous problems of mathematics.

She states that the three-dimensional surface of a sphere is the only enclosed 3-dimensional space where all contours or paths can be shrunk to a single point. During the twentieth century, Poincaré's conjecture motivated remarkable advances in geometry and topology.

This problem remained open for about one hundred years. Finally, in late 2003, Russian mathematician Grigori Perelman began to publish on the Internet a series of scientific articles that contained the solution to the problem. The mathematician refused to receive the Fields Medal, as well as the million dollar Clay Prize.


The dimension 2 circle (black in the figure) can be compressed to a point. Poincaré's conjecture states that this also applies to a sphere of dimension 3.

The Clay Mathematics Institute announced on March 18, 2010 that Dr. Grigori Perelman was the winner of one of the seven Millenium Award Problems.

Perelman, who lives in St. Petersburg, refuses to talk to the press and avoids appearing in public. On the one occasion he spoke, he said why he did not accept the award or any award: "I'm not a math hero. I didn't do anything exceptional, and I don't want to be watched all over the world. I have everything I want and stop chasing me, VTC…!". Of course, "VTC" is a bad word, which demonstrates your annoyance at considering yourself so persecuted for your deed.