I really just want to be a scholar

Chapter 577 The most brilliant, dazzling, and eye-catching long-distance run!
At the academic report meeting for the Steele Award, Professor Josh Unamuno, a famous mathematician from Germany, was giving a report on the stage.

Professor Unamuno is a retired professor at the Technical University of Munich, but he has won the title of lifelong honorary professor. He is the winner of the highest scientific research award "Leibniz Prize" in the country and the top mathematics award "Wolf Mathematics Award" winner, has a high reputation in the international mathematics community.

Being able to invite such a mathematician to give an academic report shows the influence of the American Mathematical Society AMS.

The topic of Professor Unamuno's report is very attractive, called "Prospects for the Possibility of the Unification of Mathematical Theory", Qin Ke and Ning Qingyun listened with great interest.

The unification of mathematical theories is the ultimate goal of countless mathematicians. There are many sub-subjects in mathematics today, such as number theory, functionals, algebra, geometry, topology, calculus...

In fact, in the final analysis, different sub-subjects study mathematics problems, but the emphasis is different, and they should be related in essence.

If the unification of mathematics can be realized with a new program, and mathematical problems can be described in a unified "mathematical language", then all these mathematics sub-subjects can be combined.

This is like the unification of language. There are dozens of ethnic groups in the Xia Kingdom and countless local dialects, but as long as they can speak the national language, they can communicate. The same script also allows different cultural customs to circulate throughout the country without hindrance. .

The grand unification of mathematics wants to achieve similar goals.

And this "mathematical language" is the "programme". The three existing programs are: the Hilbert program (trying to use the finite method to prove the consistency of infinite ideal mathematics), the Erlangen program (based on Geometry describes mathematical problems) and the recently popular Langlands program.

The first two programs have had a profound impact on mathematics for more than a hundred years, and the Langlands program was only proposed in the past 50 years, and quickly became the hope of a unified mathematics.

Simply put, it organically integrates number theory, algebraic geometry, and group representation theory through internal connections to form a programmatic guiding ideology.

This is an epoch-making mathematical program. If the conjectures it contains are fully proved, it will be possible to accomplish the almost impossible great goal of the grand unification of mathematics.

The Langlands program is also highly expected by the international mathematics community. Mathematicians who have made breakthroughs in this direction are the easiest to win the Fields Medal, Abel Prize and Wolf Prize.

For example, Wu Baozhu, a mathematician who won the Fields Medal awarded by the No.20 Sixth International Congress of Mathematicians, is because "by introducing a new algebraic geometry method, he proved the basic lemma in the self-defense form of the Langlands program ".

Professor Unamuno focused on his understanding and research results of the Langlands program, and also expressed a point of view - in the field of mathematics, if the Riemann conjecture, Goldbach conjecture or Hodge conjecture can be proved The world's top conjecture is indeed a very powerful achievement, but the ultimate goal of a true mathematician should be to pass the Langlands program, or propose a new program, and finally realize the grand unification of mathematics.

When he said this, his eyes always fell on Qin Ke in the crowd intentionally or unintentionally.

Even Ning Qingyun noticed it, and the girl whispered: "Isn't it for you?"

Qin Ke rubbed his nose. In fact, he also recognized this old gentleman. When he gave the derivation report meeting of the fourth group of expressions of Riemann's conjecture in Deguo, this Professor Unamuno sat in the first row and listened to the whole process. He was very serious, and kept using a pen to write and calculate, verifying his derivation process, because his all-white hair was particularly conspicuous, which left a deep impression on Qin Ke.

I just didn't expect this old man to want him to complete the unification of mathematics?This is even more exaggerated than Mr. Faltings wishing him to fully prove the Riemann conjecture. It is estimated that the level of mathematics at the master level is impossible to handle. Can the highest level "God of Mathematics" designated by the system complete this magnificent And the lofty goal is also unknown. After all, the powerful Gauss, Euler, and Riemann have not made any special contributions to the unification of mathematics.

Of course, Riemann's academic achievements in complex variable functions and Riemannian geometry have indeed greatly promoted the development of algebraic geometry, and algebraic geometry is considered to be the core tool for the unification of mathematics.From this perspective, Riemann has indeed played a great role in promoting the unification of mathematics.

In short, Qin Ke shook his head straight at this. Unless his mathematics level was raised to the "God of Mathematics", he would never consider challenging this huge proposition that is more difficult than the seven-century conjecture.

Professor Unamuno's report was finally met with warm applause.

In the buffet banquet hall at noon, this old professor with a sharp face and raised eyes, looking very serious and not to be trifled with, sat down beside Qin Ke and Ning Qingyun.

Faltins also came over with red wine, and happened to bump into Professor Unamuno, and immediately raised his eyebrows a little rudely: "You old guy, you are here to fool people to complete some unification of mathematics Great work?"

Professor Unamuno and Faltings are obviously old acquaintances and old enemies. He countered mercilessly: "It's better than you think that proving the Riemann Hypothesis is the end of mathematics all day long!"

Faltings smiled and said: "At least two-thirds of the Riemann Hypothesis has been solved now, and the end may not be too far away, and the unification of mathematics you are pursuing, with all due respect, can only be said to have a great goal, but within 100 years I can’t see the possibility of success. Even the Langlands program that you admire very much, in the final analysis, it is just a global theory that broadens the horizon, or structural integration, and it is not a unified in the true sense. Even if Don’t mention the Langlands program, just set theory, group theory, topology, how many years did it take for these compound classification disciplines to complete the integration, you don’t know?”

He turned his head to Qin Ke and said, "Qin Ke, don't pay attention to this old lunatic, he has been thinking about fooling people to delve into the Langlands Program all day long, this is a road of no return..."

Professor Unamuno ignored Faltings, interrupted him directly, and said to Qin Ke: "You are Dr. Qin Ke, right? I listened to your report in Deguo in March, and it was very exciting. I think For your mathematical talent, it is necessary to withdraw from the Riemann Hypothesis, Navier-Stokes equation and other mathematical conjectures that are just special cases, and focus on the greatest end point of human mathematics career-mathematical unification. For example, Lang The Lanz program. I think the great unification of mathematics lies in algebraic geometry and number theory, and you have shown outstanding talents in both areas. As long as you have achieved something in this area, it is easy to win the Fields Medal. Of course, there is also The same goes for Dr. Ning Qingyun, he should choose to take the unification of mathematics as his new research direction..."

Faltings waved his hand and said: "Okay, okay, you go to sell your mathematics unification elsewhere, I can't see Qin Ke and Ning Qingyun being fooled into this dead end by you. Look at Wu Baozhu, let's go! After entering this pit, how long has there been no new results? This is simply not a huge undertaking that one or two people can accomplish alone! If you don’t gather twenty or thirty young winners of the Fields Medal and invest decades, I'm afraid you can't even splash the water. But you have the ability to gather so many young and promising mathematicians?"

Professor Unamuno stared: "Aren't I just looking for a suitable partner? Dr. Qin Ke and Dr. Ning Qingyun are good partners worth attracting. I am afraid that there will be more than ten or twenty years left in my life." Time has passed, if you don't see the dawn of the unification of mathematics before your death, should you engrave on the tombstone 'This is a mathematician who regrets not being able to see the hope of unification of mathematics and refuses to go to heaven'?"

The two highly respected mathematics masters were blushing and attracted a lot of attention from around. After hearing the content of the two people's arguments, they all cast envious glances at Qin Ke and Ning Qingyun. Professor Nuo's approval and invitation was a great thing. You must know that this old man is famous for his eyes above the top.

Of course, several outstanding mathematicians present had received similar invitations from Professor Unamuno, but they all declined. No one wanted to jump into this bottomless pit rashly.

Qin Ke and Ning Qingyun also looked at each other in dismay. To be honest, they had never thought of such a grand goal as the unification of mathematics before they came to Boston. If they had, it would also be the unification of physics. This seems to be more feasible some.

Seeing Professor Unamuno's expectant gaze of invitation, Qin Ke had no choice but to bite the bullet and said, "Professor Unamuno, we both feel that we still have a lot to learn, whether in algebraic geometry or number theory." , I am not qualified to accomplish such a great goal as the unification of mathematics for the time being, of course, Qingyun and I will use this goal as the motivation to spur ourselves to continue on the road of mathematics."

Professor Unamuno obviously showed disappointment, but fortunately Qin Ke didn't finish his sentence, he said regretfully: "Well, if you two are interested in participating in my subject of mathematics unification in the future, you can contact me at any time , This is my business card with my email address on it." He took out his business card and handed it to Qin Ke and Ning Qingyun, then shook his head and left.

Faltins looked at his back and sighed: "This old guy is indeed a mathematics obsessive. He has devoted his whole life to the big pit of mathematics unification. He didn't achieve some results until he was 60 years old. Naturally, he missed it." Fields Medal, so he only won the Leibniz Prize and the Wolf Prize in Mathematics. To be honest, if he only focuses on a certain direction, such as algebraic geometry or number theory, I can guarantee that he can He won the Fields Medal before the age of 35, he is such a mathematical genius."

Qin Ke could only express his admiration and admiration for such a single-minded master of mathematics. Otherwise, he would not be able to devote his entire life to a goal with no bright future in sight.

But math is great...

If you can really rise to the level of "God of Mathematics", then all the seven millennium conjectures will be solved again. If you have nothing to do, you can try to set this as the ultimate goal of mathematics.

Just as Qin Ke was thinking, Faltings had turned to look at him and Ning Qingyun: "There are only two more months left before the IMU International Mathematicians Conference, so prepare well. As far as I know, both of you are the current Candidates for the Fields Medal, and they are all ranked in the top [-]. Whether you can get such an award depends on your performance at the International Congress of Mathematicians. Some people in history had little chance, but in the end Because of the outstanding performance of the report at the conference, I successfully turned the tables. I hope to hear good news from you.”

Qin Ke and Ning Qingyun nodded at the same time, and said gratefully: "Thank you for your guidance and concern, old man."

Faltins smiled, turned and left, and before leaving, he said: "If I can see the completely cracked Riemann Hypothesis within a few years, this will be the greatest reward for me."

Ning Qingjun looked at the distant figures of Faltins and Professor Unamuno, and said softly: "Qin Xiaoke, I find such a pure mathematician is great, there is no distinction of nationality, no restriction of race, everything Just for the math in mind."

"Probably because of such purity, they can achieve great academic achievements recognized by the world." Qin Ke was also deeply touched.

After getting in touch with Professor Faltings, Professor Tao, Professor Linden-Strauss, Professor Wiles and other Philippine award masters, Qin Ke found that the higher the standing and the higher the achievement of the mathematics master, the better the The purer the love of mathematics, material and fame are nothing to them, not to mention the boundaries of nationality, race, age, and gender.

As long as they also like mathematics and can communicate effectively with them in mathematics, they will regard them as confidantes, unreservedly release their kindness, and give them the help they can.

"It seems that I really have to work harder..." Qin Ke said in a low voice.

"Huh? What did you say?" Ning Qingyun didn't hear clearly, and blinked curiously.

Qin Ke put down the spoon and said with a smile: "I said, starting tonight, I want to run on the campus of MIT. Our report will be in four days. I hope I can run enough in these two days. inspiration."

"You mean..." Ning Qingyun's eyes flashed with excitement.

"Yes, just a little bit, Riemann guessed the derivation of the last set of expressions."

Since absorbing the knowledge of number theory at the master level, Qin Ke has a rich reserve of knowledge in number theory, which has surpassed any Philippine award boss in the world. After all, even a Philippine award boss is more likely to specialize in a certain For example, Professor Wiles is specialized in number theory knowledge related to Fermat's last theorem.

And Qin Ke is proficient in all sub-subjects of number theory, whether it is elementary number theory, analytic number theory, algebraic number theory, geometric number theory, or stacked number theory, Diophantine equations, class field theory, automorphic forms, zeta functions, Shimura varieties, Algebraic groups... He is proficient in all of them, and it can be said that he has gathered the knowledge of ancient and modern masters of number theory at home and abroad.

Coupled with his keen mathematical intuition, strong mathematical thinking ability, and the correct direction he has found, Qin Ke wants to deduce the last set of expressions of Riemann's conjecture, and only lacks the last bit of inspiration to complete this puzzle .

The best and most familiar way to find inspiration is long-distance running. During the long-distance running, you can let go of your mind and body, focus on thinking, and finally stimulate the state of "inspiration amplification" to enter the wonderful world of inspiration. In one fell swoop, the great Riemann conjecture Completely overcome!
So that night, Qin Ke, accompanied by Chen Ming and Zheng Haiqiao, and under Ning Qingyun's expectant and somewhat worried eyes, stepped on the bright moonlight and started his most brilliant career in the past 20 years. The most dazzling and eye-catching long-distance run comparable to a half marathon!
(End of this chapter)