Chapter 286: Mathematics Seminar
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Even if the great poet or the invincible king is forgotten, Archimedes will still be remembered, because language and writing will die out, but mathematical concepts will not. "Immortal" may be an irrational word, but perhaps mathematicians have the best chance of enjoying it, whatever it means.
The Princeton University Global Mathematicians Symposium is the starting point for such a passage, and you can imagine how proud and confident mathematicians are in their research.
This is the most important mathematics lecture since the beginning of the new century.
Two hundred mathematicians were stunned. Very few of them fully understood the meaning of the dense Greek letters and algebraic expressions on the blackboard. The rest of the people came purely to witness what they were expecting to be a truly historic moment.
There were rumors a few days ago.
The speed at which information spreads on the Internet is unimaginable, with more or less information suggesting that the lecture will culminate in the solution of Goldbach's conjecture, the most famous mathematical problem. Such gossip is not uncommon. Ever since Wiles solved Fermat's theorem, the topic of Goldbach's conjecture has been heard at tea parties, where mathematicians speculate that someone might be doing some kind of research. Sometimes, the discussion about mathematics in the common room of senior college teachers can make this speculation a rumor of some kind of breakthrough, but it has never materialized.
This time the rumors were completely different.
Princeton's top students were so convinced of it that many immediately went to the staker registration agent to bet $100 that Goldbach's conjecture would be solved within a week. However, the broker sensed that something was wrong and refused to accept their bet.
This was the twentieth student who had come to the broker's meeting that day, and they all asked to make the same bet. The Goldbach conjecture has puzzled the most brilliant people on the planet for centuries and has gone nowhere for nearly fifty years, but now even the stakes registration broker is beginning to feel that it is on the verge of being proven.
Now that the three blackboards were full of calculations, the speaker paused.
The first blackboard was erased, and the next one was algebraic. Each line of math seems to be a tiny step towards the final solution. But after 30 minutes, the speaker still hasn't announced the proof.
The professors filled their seats in the front row, anxiously awaiting the conclusion.
The students standing in the back looked to their teachers for hints as to what they might have come to a conclusion.
Are they looking at a complete proof of Goldbach's conjecture, or is the speaker merely summarizing an incomplete argument?
The speaker was none other than Liu Meng, a talented young man in China.
In 2004, he solved the Sitapan conjecture in number theory. At only 17 years old, he shocked the international mathematical community at such an age and gained a high reputation. Many people even began to think that his achievements would surpass that of the mathematical prodigy Tao Zhexuan, and that he would be the shining star of the 21st century, however, in the following two years, he almost disappeared from the various mathematical conferences and seminars held around the world every year, and Chinese mathematicians even began to think that Liu Meng's achievements had come to an end.
It is not uncommon for brilliant young scholars to die prematurely, as the mathematician Adler once pointed out: "The mathematical life of a mathematician is short, and there is little better work after the age of 25 or 30." If there is little achievement at that age, there will be no more. β
"Young people should prove theorems, and older people should write books. In his book Confessions of a Mathematician, Hardy said, "No mathematician should ever forget that mathematics is more of a young man's game than any other art or science." To give a simple example, the average age of mathematicians elected is the lowest among members of the Royal Society. His own most prominent student, Ramanujan, was only 31 years old when he was elected a Fellow of the Royal Society, but he had already done a remarkable and groundbreaking work at a young age. Despite having little formal education in his home town of Kuba Conham in South India, Ramanujan was able to create theorems and solutions that Western mathematicians had stumped upon. In mathematics, experience that grows with age seems to be less important than the courage and intuition of young people. When Ramanujan mailed his results to Hardy, the Cambridge professor was deeply moved and invited him to give up his career as a junior clerk in South India to work at Trinity College. At Trinity College, he will be able to interact with some of the world's leading number theorists. Sadly, Ramanujan could not endure the harsh winters of East Anglia and contracted tuberculosis and died young at the age of 33.
There are also mathematicians who have had brilliant but short careers. In the 19th century, Abel of Norway made his greatest contribution to mathematics at the age of 19, but due to poverty, he died eight years later, also from tuberculosis. The young mathematician was said of the young mathematician: "He left behind ideas that could be used by mathematicians for 500 years." Indeed, Abel's discoveries still have a profound impact on today's number theorists. Galois, a contemporary of the same talented Abel as he did his breakthrough work as a teenager and died at the age of 21.
These examples are not intended to show that mathematicians can die prematurely and tragically, but to show that their deepest ideas are usually formed in their youth, and as Hardy once said, "I have never heard of an example of a heavy progress in mathematics pioneered by men over fifty." "Middle-aged mathematicians often take a back seat and spend their later years teaching or administration rather than research.
The mathematics department of any university has the lowest secrecy of all the faculties, because there are no inventions that are patented. The mathematical community prides itself on its frank and free exchange of ideas. Tea breaks have evolved into a daily routine in which people not only enjoy cookies and coffee, but more importantly share and discuss ideas. As a result, papers published by several authors or a group of mathematicians are becoming more common, and the credit is shared equally.
Just when the mathematical community had begun to forget about this once-up-and-coming teenage genius, two years later the young man suddenly published a paper on the proof of twin primes. This is considered to be a prelude to proving Goldbach's conjecture.
The Einstein Institute, next to Princeton University, exists for the sole purpose of bringing together some of the world's best scholars for a few weeks to hold seminars on cutting-edge research topics of their choosing. The building's location on the edge of the university, away from students and other distractions, is also unique in order to encourage scientists to focus on collaboration and research.
There are no end-to-end corridors in the building, and each office faces a central hall for discussion, where mathematicians can work together, and the doors of the offices are not allowed to be closed all the time. Collaboration while walking around the institute is also encouraged, and there is even a blackboard in the elevator. In fact, every room in the building, including the bathroom, has at least one chalkboard.
This time, the Einstein Institute held a seminar entitled "Random Number Theory and Infinity". The world's best number theorists gathered to discuss problems in this very specialized and novel field of pure mathematics, but only Liu Meng realized that this theory held the key to solving Goldbach's conjecture and proposed his own deterministic theory of randomly distributed numbers jΓΉ.
Liu Meng's dissertation research was explained for an afternoon. Still not finished, the mathematicians can only suspend this report and continue tomorrow, just as Liu Meng is about to leave. A student raised his hand and asked, "Liu Meng." There seems to be something wrong with the second line of the blackboard on the left side of your derivation, can you explain it to me?"
Liu Meng's eyes narrowed at this provocative white man and said: "This classmate, you should call me Professor Liu Meng, and there is no problem with this formula, you think there is a problem that you don't understand, if that's the case, I suggest that you don't come over tomorrow to listen." It's hard for your intellect to understand, goodbye. Everyone. β
After Liu Meng finished speaking, he left, and the last two people sitting in the big classroom were Jobs and Cooper, Cooper was puzzled: "Mr. Jobs, why don't you go to Professor Liu Meng to discuss the licensing of patents?" Jobs said calmly: "Although I am not engaged in research, but I also understand that Professor Liu Meng's lecture is not over yet, I think he must not want to be disturbed at this time, we will wait here slowly, until the end of this lecture, if you want to get the respect of others, you must first learn to respect others." Cooper nodded, but said worriedly, "I heard that this meeting is going to be going on for two weeks or more, so we can't wait here forever." Jobs said, "Then keep waiting" and walked out.
As soon as Liu Meng returned to his residence, Lisa walked in with a smile, dressed in sexy clothes, and couldn't help but admire: "Dear Meng, have you really solved the Goldbach conjecture? You will become an outstanding mathematician like Uncle Wiles." As he spoke, he walked over and kissed Liu Meng lightly on the face.
Lisa's achievements in the past two years are also not small, especially in the field of mathematics, so this time I also have the opportunity to participate in the annual meeting of mathematicians, but this girl sat down all day to listen to Liu Meng's speech, listening to it with relish, Liu Meng touched her head, and then felt that she had grown a lot taller, wearing shoes with a little heel turned out to be about the same height as herself, her figure was more plump, convex and backward, her chest was more prominent, and she smiled: "Little Lisa really grew up back then." (To be continued......)