Dorian Goldfeld, a mathematician at Columbia University, commented: "abc conjecture, if proved, will solve many famous Diophantine problems in one fell swoop, including Fermat's last theorem. If the proof of full moon is correct, it will be one of the most shocking mathematical achievements in 2 1 century. " Shinichi Mochizuki's research work has little to do with previous efforts. He established a brand-new mathematical method and used some brand-new mathematical "objects"-these abstract entities can be compared to familiar geometric objects, sets, permutations, topologies and matrices, which only a few mathematicians can fully understand. As Goldfield said, "Today, he may be the only one who has completely mastered this method." Conrad believes that this research work "contains many profound ideas, and it will take a long time for the mathematics community to fully understand digestion." The whole proof contains four long papers, each of which is based on the previous paper. "It takes a lot of time to learn and understand these profound long proofs, so we can't just pay attention to the importance of this proof, but more importantly, we should study it along the author's proof ideas." Shinichi Mochizuki's research results make all these efforts worthwhile. Conrad said: "Shinichi Mochizuki has successfully proved extremely difficult theorems, and his paper is rigorous and fully discussed. All these make us full of confidence in successfully proving abc conjecture. " In addition, he added that the achievement is not limited to the confirmation of this certificate. "The exciting reason is not only that abc conjecture may have been solved, but also that the methods and ideas he uses will become a powerful tool to solve the problem of number theory in the future.
The situation in Shinichi Mochizuki is a little different. He has been thinking about the proof of ABC conjecture alone for 20 years, and has established a new world which he calls "the Transcosmic teichüller Theory", and defined all kinds of mysterious terms that have never been seen before. For example, the first paper talks about the structure of "Hodge Theater", and the second paper introduces the "pure structure of alien arithmetic".
Most senior mathematicians in the fields of algebraic geometry and number theory believe that the theory of looking at the moon is too mysterious to spend years reading it carefully to find out the newly defined terms, the thread of reasoning and the structure of the theory. Admittedly, the worst thing may be that in the end, everyone found that this new theory bypassed themselves and entered a dead end; Of course, the best result is that the full moon proof has established a new branch of mathematics and unified algebraic geometry and number theory.
When the full moon began to study the proof of ABC conjecture, it was only 10 years since the conjecture was put forward, and little progress was made. The full moon can be said to start almost from scratch. The reason for saying "almost" is that Wang Yue made outstanding contributions in the field of "Far Abelian Geometry" [1] when he was in his twenties, and was invited to give a speech at the International Congress of Mathematicians every four years. However, after 1988 Berlin Mathematicians Congress, Wang Yue disappeared from academia and devoted himself to his own universe, proving ABC conjecture. The theoretical tool he used was "Far Abelian Geometry".
It can be said that one of the purposes of looking at the moon to prove ABC conjecture is to carry forward the far Abelian geometry. Far Abelian geometry is a branch of mathematics, which was founded by Pope Grotendick in algebraic geometry in 1980s. The research object is the structural similarity of basic groups of algebraic clusters on different geometric objects.
For mathematicians, another difficult problem in checking whether there is any mistake or omission in the proof of looking at the moon is: to thoroughly understand the proof of ABC conjecture on page 5 12 of Looking at the Moon, you need to understand the work on page 750 of Looking at the Moon in Far Abel Geometry first! Only about 50 mathematicians in the world have enough background knowledge in this field to read through the far Abel geometry book, not to mention the "mutual test teichüller theory" established by Moon in proving conjecture. So far, Wang Yue, who calls himself a cosmologist, is a loner in the universe he created.
Most number theorists hope that Wang Yue can write a summary of his own proof and show the logical context of the whole theory to everyone, such as why theorem X and concept Y should be introduced and how to advance to the proof of the final guess layer by layer. The Clay Institute of Mathematics, which established the Millennium Prize, is also considering inviting Wang Yue to hold a seminar, inviting the world's best number theory and algebraic geometricians to attend and learn this new theory together.
As for Shinichi Mochizuki himself, he refused any interview after issuing the certificate and didn't like socializing.
Regarding the way to look at the moon, Jin Mingjiong, a professor of mathematics at Oxford University, commented: "When you immerse yourself in your theoretical universe for too long, you won't notice others' confusion about your theory, because you presuppose that everyone knows a lot of basic knowledge. "
The story ends here. Everyone is witnessing history.
Suspected founder of bitcoin
20 13 On May 20th, computer scientist Ted Nelson(HTTP father of HTTP) revealed on youtube that the founder of Bitcoin, alias Satoshi Nakamoto, was actually Shinichi Mochizuki, a professor of mathematics at Kyoto University. No one knows who invented Bitcoin. Developers use the pseudonym Satoshi Nakamoto, but from the moment Bitcoin appeared, people never stopped digging for Satoshi Nakamoto's identity. Moreover, since the day Bitcoin was launched, a computer has been engaged in bitcoin mining, and it is widely rumored that this machine belongs to Satoshi Nakamoto. Therefore, if Shinichi Mochizuki is really Satoshi Nakamoto, his worth has obviously exceeded 1 100 million pounds.
Nelson's evidence has three points:
Shinichi Mochizuki is smart enough to come up with such a complicated system as Bitcoin.
The new moon does not use the traditional academic publishing mechanism. On the contrary, his habit is to work alone and let others understand after publishing papers.
Shinichi Mochizuki's field of work includes the mathematical algorithm of bitcoin.
In the video, Nelson pays tribute to Shinichi Mochizuki, calling him a great economist, sociologist and computer scientist, and thinks that he should win the Nobel Prize in Economics for Bitcoin. Finally, he hoped that Shinichi Mochizuki would focus his future work on solving the most complex problems of mankind, such as nuclear weapons, terrorism and pollution.
However, many people began to question. For example, Shinichi Mochizuki is just a pure mathematician, and it is always doubtful that a pure mathematician can develop something that can have an immediate and important impact on the real world. In addition, pure mathematicians are unlikely to develop virtual currency in the form of bitcoin. Moreover, judging from various academic works published by Shinichi Mochizuki, he is not interested in cryptography, which is not in line with his research field.
Others pointed out that although Satoshi Nakamoto, the founder of Bitcoin, is a Japanese name, it does not necessarily mean that this person's real identity must be Japanese, which is misleading in itself.