本帖最后由 酒哥 于 2015-3-26 11:17 编辑
《美丽心灵》男主角生活原型约翰·纳什与路易斯·尼伦伯格分享2015阿贝尔奖
阿贝尔奖是最高级别的数学奖之一。
约翰·纳什与路易斯·尼伦伯格都是由于他们“在非线性偏微分方程理论及其对几何分析的应用方面的引人注目的和开创性的贡献”
（“for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.”）
获奖。
约翰·纳什的得奖具体地应该是因为DeGeorgi-Nash估计。这是偏微分方程理论的一项主要突破和建树。
但为何得奖人没有DeGeorgi？DeGeorgi在这个突破中的贡献是无可置疑的，而纳什的贡献是有那么一点点质疑的。
（纳什用该估计解决的那个嵌入问题现在也无需用那个重要估计就可解决，当然这是较小的事）。
路易斯·尼伦伯格是对中国人十分友好的美国犹太数学家。许多中国数学家因为他的提携在美的数学事业早期发展较为顺利。
John F. Nash Jr. and Louis Nirenberg share the Abel Prize
John F. Nash Jr. and Louis Nirenberg share the Abel Prize
The Norwegian Academy of Sciences and Letters has decided to award the Abel Prize for 2015 to the American mathematicians John F. Nash Jr. and Louis Nirenberg “for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.” The President of the Academy, Kirsti Strøm Bull, announced the new laureates today 25 March. They will receive the Abel Prize from His Majesty King Harald at a ceremony in Oslo on 19 May.
John F. Nash Jr., aged 86, spent his career at Princeton University and the Massachusetts Institute of Technology. Louis Nirenberg, aged 90, worked at New York University’s Courant Institute of Mathematical Sciences. Even though they did not formally collaborate on any papers, they influenced each other greatly during the 1950s. The results of their work are felt more strongly today than ever before.
Mathematical giants
Nash and Nirenberg are two mathematical giants of the twentieth century. They are being recognized for their contributions to the field of partial differential equations (PDEs), which are equations involving rates of change that originally arose to describe physical phenomena but, as they showed, are also helpful in analyzing abstract geometrical objects. The Abel committee writes: “Their breakthroughs have developed into versatile and robust techniques that have become essential tools for the study of nonlinear partial differential equations. Their impact can be felt in all branches of the theory.”
In the 1950s Nash proved important theorems about PDEs, which are considered by his peers to be his deepest work. Outside mathematics, however, Nash is best known for a paper he wrote about game theory, the mathematics of decision-making, which ultimately won him the 1994 Nobel Prize for economics, and which features strongly in the 2001 film about him, A Beautiful Mind.
Long career
Nirenberg, who was born in Canada, has had one of the longest and most feted careers in mathematics, having produced important results right up until his 70s. Unlike Nash, who wrote papers alone, Nirenberg preferred to work in collaboration with others, with more than 90 per cent of his papers written jointly. Many results in the world of elliptic PDEs are named after him and his collaborators, such as the Gagliardo–Nirenberg inequalities, the John–Nirenberg inequality and the Kohn–Nirenberg theory of pseudo-differential operators.
“Far from being confined to the solutions of the problems for which they were devised, the results proven by Nash and Nirenberg have become very useful tools and have found tremendous applications in further contexts,” the Abel committee says.
Many awards
Both men have received many distinguished awards. As well as winning the prize in economic sciences in memory of Alfred Nobel, Nash has won the John von Neumann Theory Prize (1978) and the American Mathematical Society’s Steele Prize for a Seminal Contribution to Research (1999). Nirenberg has won the American Mathematical Society’s Bôcher Memorial Prize (1959) the inaugural Crafoord Prize awarded by the Royal Swedish Academy of Science (1982), the Steele Prize for Lifetime Achievement from the American Mathematical Society (1994) and the first Chern Medal for lifetime achievement from the International Mathematical Union and the Chern Medal Foundation (2010).
|
发表于 2015-3-26 11:15:34
收藏
分享
楼主