Almost Human reported
Author: Dimensions
settled! Recently, Japanese mathematician Mochizuki Shinichi proved the abc conjecture in a more than 600-page paper finally officially published, and his eight-year wait was not wasted.
In the field of mathematics, abc conjecture is a well-known mathematical conjecture about the relationship between integer addition and multiplication. This conjecture is described by three relatively prime positive integers a, b, and c. C is the sum of a and b, hence the name of the conjecture. There are several claimed proofs for this conjecture, but no convincing results have been obtained before. The
abc conjecture is of great significance in mathematics. Many famous conjectures/theories are its inferences, such as Fermat's last theorem , Bill's conjecture, Mordell conjecture, and twin prime conjectures. This conjecture has a high status in number theory , almost as famous as Riemann’s conjecture. Once the abc conjecture is proved, many famous conjectures in number theory can be drawn immediately.
Shinichi Mochizuki, a Japanese mathematician and professor at the Institute of Mathematical Analysis, Kyoto University, has been diligently trying to prove the abc conjecture. In August 2012, Mochizuki published more than 600 pages of proof papers, including more than 500 pages of his own other papers, and developed a new set of mathematical theories almost to solve the abc conjecture. However, due to the length and obscurity of the paper, mathematicians have spent a lot of effort in testing Mochizuki's proof, but many people are still confused about the underlying assumptions in the paper. Until the end of 2017, only a dozen mathematicians said they could understand the paper.
The effort pays off. After nearly eight years of review, Mochizuki Shinichi's research was finally recognized in April 2020. The Institute of Mathematical Analysis (RIMS) of Kyoto University in Japan announced that it will accept and publish this paper.Recently, this paper was finally published in the electronic edition of the special issue of PRIMS, an international professional journal compiled by the institute.
Link to the paper: https://www.ems-ph.org/journals/show_issue.php?issn=0034-5318&vol=57&iss=1
The long road to verification and recognition
In August 2012, Mochizuki Shinichi quietly uploaded a preprint of the paper, but the publishing platform did not choose arXiv, the first choice of mathematicians, but on the personal homepage of the Institute of Mathematical Analysis, Kyoto University. The dissertation consists of 4 articles, more than 600 pages, and is written in a special style that is unpredictable, even many people who are also mathematicians cannot understand.
Specifically, ’s paper is full of strange symbols and strangely defined names , such as "the extremes of the dark edge of the universe", "Hodge Cinema", "Alien Arithmetic Pure Structure" "Wait...
After the article caused a sensation, Mochizuki Shinichi rejected all speeches and lectures abroad. Some of his very close collaborators stated that although they found the proof to be correct, experts around the world are usually unwilling to spend energy studying it, let alone verifying it.
held academic seminars on this topic in the following years. These seminars have made some progress, but they also said that it may take many years to reach a conclusion. Mochizuki’s doctoral dissertation supervisor Faltings also criticized Mochizuki publicly, believing that he did not clearly convey his ideas.
On December 16, 2017, Japan's "Asahi Shimbun" claimed that Mochizuki's proof progress was close to official verification, and this achievement could be equivalent to the 1995 proof of Fermat's Last Theorem. However, although there are some rumors that the publishing department of the Kyoto University Institute of Mathematical Analysis has accepted its research, the then chief editor denied it.The rumors that the paper was about to be published eventually turned out to be self-defeating, and in the following months, things got worse for Mochizuki Shinichi.
University of Bonn 's Peter Scholze and Goethe University's Jacob Stix privately spread the refutation of Mochizuki's abc conjecture proof, and proposed a specific critical loophole. Immediately afterwards, Scholze and Stix publicly wrote in an exclusive article in the journal Quanta of mathematics and physics that they discovered a serious and uncorrectable flaw in the proof of Mochizuki's abc conjecture. Scholze said: "I think the abc conjecture has not been proven. Anyone has a chance to prove it." However, Mochizuki ignored these criticisms, and he believed that the two authors did not understand their work.
In April 2020, Mochizuki Shinichi's Institute of Mathematical Analysis (RIMS), Kyoto University, Japan, announced that it will accept and publish his paper. Recently, this paper was finally officially published.
Mochizuki Shinichi: The genius mathematician who proved the acb conjecture
Source: Kyoto University.
Mochizuki Shinichi was born in Tokyo, Japan in 1969. He entered Princeton University at the age of 16, graduated at 19, and then successfully entered the graduate school. He studied under the famous German scientist and 1986 Fields Medal winner Fal. Tins. In 1992, Mochizuki received a doctorate in mathematics (only 23 years old). In the same year, he entered the Institute of Mathematical Analysis, Kyoto University, and was promoted to professor in 2002 (33 years old). Academically, Mochizuki Shinichi focuses on mathematical work areas such as arithmetic geometry, Hodge's theory, and far Abelian geometry.
In addition, there has been a saying that Mochizuki Shinichi is believed to be the inventor of Bitcoin. But this statement is quite suspicious. First of all, as a pure mathematician, it is difficult to imagine that he would be interested in things that can be applied in reality; secondly,The technical basis of Bitcoin is cryptography, which is not his research interest. Finally, the inventor of Bitcoin "Satoshi Nakamoto" may not be Japanese.
Reference link: https://www.kyoto-np.co.jp/articles/-/209411
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