In the 1990s, partly in collaboration with Yuri Burago, Mikhael Gromov, and Anton Petrunin, he made contributions to the study of Alexandrov spaces. In 1994, he proved the soul conjecture in Riemannian geometry, which had been an open problem for the previous 20 years. In 2002 and 2003, he developed new techniques in the analysis of Ricci flow, and proved the Poincaré conjecture and Thurston's geometrization conjecture, the former of which had been a famous open problem in mathematics for the past century. The full details of Perelman's work were filled in and explained by various authors over the following several years.
生涯とキャリア
In August 2006, Perelman was offered the Fields Medal for "his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow", but he declined the award, stating: "I'm not interested in money or fame; I don't want to be on display like an animal in a zoo." On 22 December 2006, the scientific journal Science recognized Perelman's proof of the Poincaré conjecture as the scientific "Breakthrough of the Year", the first such recognition in the area of mathematics.
On 18 March 2010, it was announced that he had met the criteria to receive the first Clay Millennium Prize for resolution of the Poincaré conjecture. On 1 July 2010, he rejected the prize of one million dollars, saying that he considered the decision of the board of the Clay Institute to be unfair, in that his contribution to solving the Poincaré conjecture was no greater than that of Richard S. Hamilton, the mathematician who pioneered the Ricci flow partly with the aim of attacking the conjecture. He had previously rejected the prestigious prize of the European Mathematical Society in 1996.
主な事実
- Born: June 13, 1966 in Leningrad, Soviet Union
- 分野: Mathematics
- 受賞: Saint Petersburg Mathematical Society Prize (1991), accepted EMS Prize (1996), declined Fields Medal (2006)
Awards and Recognition
Grigori Perelman received significant recognition for his contributions:
- Saint Petersburg Mathematical Society Prize (1991)
- accepted EMS Prize (1996)
- declined Fields Medal (2006)
遺産と影響
The influence of Grigori Perelman extends far beyond his own lifetime. He fundamentally shaped the foundations of modern mathematics, and his theorems and mathematical frameworks remain foundational to this day.
Grigori PerelmanはRussiaが生んだ最も称賛される頭脳の一人であり続け、地域の豊かな知的遺産を物語っている。
Russiaの著名な天才
Russiaは数多くの傑出した頭脳を輩出してきた。Grigori Perelmanと並んで:
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