Sir Andrew Wiles (Sir Andrew J. Wiles) – 62-year-old British mathematician of the Oxford ( University of Oxford) – he won the 2016 Abel Prize (2016 Abel Prize). What was announced at the award website.
Abel Prize awards the Norwegian Academy of Sciences (Norwegian Academy of Science) for his outstanding contribution, which has had an impact on mathematics. In the money – it is 6 million NOK, which is equivalent to 600,000 euros or 700,000 dollars. In as much, and it was estimated contribution of Sir Wiles. Namely – the proof of Fermat’s Last Theorem, which he received in 1994.
Pierre de Fermat:. Is not joking with his theorem. Is it proof.
The Abel Committee did not explain why the reward for so long waiting for a hero. Maybe mathematics was calculated to obtain a simpler proof than the one that was made public the winner of the current – it takes about 200 pages and is not available to mere mortals to understand. But in the end, the prize was awarded with the wording “for the stunning evidence of great (last) Fermat’s theorem using semistable elliptic curves, marked the beginning of a new era in the theory of numbers”.
The French mathematician Pierre de Fermat formulated his legendary theorem in 1637 in the fields of “Arithmetic” Diophantus:
“… it is impossible to expand the cube into two cubes, biquadrate two fourth power, and in general any degree greater than the square on two levels with the same rate, I found this. a truly wonderful proof, but the book field too narrow for him. ”
Here are the words “found a truly marvelous proof” intrigued his contemporaries and descendants so that they are the thousands began to break the head , trying to find it . But it is not found over the centuries. At one time even suggested that the farm was joking – but in fact it has no proof of the theorem. But it had to be proved. And, too, did not work
Andrew Wiles in 1993:. Telling colleagues how to prove Fermat’s theorem. Then Andrew oshubku admitted in evidence, but a year later to fix it.
For more than 3 century there were hundreds of evidence, one way or another have been in error. Or was not enough fat. But we did not give up mathematics. Most employment – proving Fermat’s Last Theorem – was considered a sign of genius. Or rather severe mental disorders. Won over by the simplicity of the task. That is known that “A” squared plus “B” is equal to the square of the “C” in a square. So, for example, 3 squared plus 4 squared equals 5 squared. And it is necessary to prove that the “A” degree “n” plus “B” in the degree of “n” is not equal to “C” degree “n”, if “n” for more than two.
Who would have I think that the proof would require sophisticated calculations: some of semistable elliptic curves with modular forms. And understanding that every elliptic curve over an algebraic number field is automorphic and every elliptic curve over the rational numbers to be modular.
would look like elliptic curves.
Andrew Wiles became interested in Fermat’s theorem as early as age 10. It was only after 30 years – in his spare time – proved, using the hypotheses and best practices of their colleagues. In 1994 the decision was received, and in 1995 – published
According to the Abel Committee, then these same semistable elliptic curves with modular forms used Wiles proof, utility rare: they are used in elliptic curve cryptography for. protection of data on payments by plastic cards.
by the way, not everyone knows that Fermat’s Last theorem has been proved. And they continue to prove it. Thanks Abel Prize – enlightened. Even though she did not stop inquiring minds who want to do all the same without abstruse calculations, and look for the most “truly marvelous proof” – an elegant and simple, which meant he farm.
In honor of the proof of Fermat’s theorem Czechs launched the brand.
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