I really just want to be a scholar

Chapter 580 The Riemann Hypothesis is a thing of the past!A great report destined to be a sensation all over the world!
The auditorium of the Massachusetts Institute of Technology has a long history. It is said that many modern historical celebrities, including the Fields Award, Turing Award, and Nobel Prize winners, gave speeches here. Mr. has also stood on the podium of this auditorium.

On the afternoon of August 8th, the sun was shining brightly, and dust was flying in the light coming in from the windows.

Qin Ke stepped on the bunches of lights, stepped up the steps step by step, and stood at the position where countless celebrities had stood.

The turmoil and chaos in the audience finally came to a halt after repeated persuasion by the staff.

There are two to three thousand spectators in the venue. These audiences include mathematics professors from famous universities in the world, mathematicians from mathematics research institutions who are invited, and top ten in the world, including "Mathematics Annals" and "Mathematics Annual". The editor-in-chief and editor-in-chief of professional academic journals including Journal and New Advances in Mathematics, as well as the editor-in-chief of many academic publishing houses, the HR of some well-known large companies, as well as the president of MIT and all the faculty and staff of the Department of Mathematics , Student representatives.

Of course, media reporters from various countries also accounted for more than 200 places, but they generally have no seats and can only observe and film.

From Qin Ke walking to the podium to standing still, the cameras in the hands of these reporters never stopped making slight "clicking" sounds. Fortunately, flashes were not allowed at the venue, otherwise Qin Ke's eyes would have been blinded by the flash.

And as Qin Ke stood on the podium, there was a slight commotion and whispering among the two or three thousand spectators present.

"Is what Dr. Ning Qingyun just said reliable? Dr. Qin Ke deduced the last set of expressions of Riemann's conjecture? I checked on arXiv just now, and I didn't find that 'qin ke' has uploaded a new pre-collection paper."

"I don't know, I didn't hear any wind at all before."

"Three nights ago, Dr. Qin Ke ran for [-] kilometers on the sports field of this school, and then passed out from exhaustion. Could it be that he had an inspiration at that time? I heard that running to preach is his stunt. .”

"No way? This Dr. Qin Ke seems to have been sleeping. I heard that a reporter asked the staff at noon, saying that Dr. Qin Ke was still awake, and he was not sure if he could attend the afternoon report meeting. Even if he had inspiration, he would not Maybe it’s possible to complete the derivation so quickly?”

"Hush, be quiet, don't guess wildly, everyone is standing on the podium, we will know the answer soon."

The host said loudly: "Next, please invite this year's Steele Prize winner, Dr. Qin Ke from the Department of Mathematics of Qingmu University in Xiaguo, to give us an academic report for one hour! Applause is welcome!"

There was thunderous applause in the audience, and the host immediately stepped off the podium, leaving only Qin Ke standing on the podium.

Qin Ke pressed his hand, and the applause quickly subsided.

Facing countless gazes, Qin Ke started his great report destined to cause a sensation all over the world in English.

"Ladies and gentlemen, good afternoon, everyone. I am Qin Ke, a Ph.D. from the Department of Mathematics of Xiaguo Qingmu University. Thank you for coming to listen to my academic report. The topic of my report today was originally a proof of Goldbach's conjecture, but after more than one A few hours ago, I temporarily changed my mind and changed the topic of the report to "Complete Proof of the Riemann Hypothesis"..."

There was another commotion in the audience, Qin Ke pressed his hand again, and continued: "I also said at the previous Craford Award academic report that in my research system, the Riemann conjecture has a total of five expressions. formula, the later expressions involve a wider range, and the derivation becomes more and more difficult. I have completed the derivation of the first four groups of expressions, but I have encountered great difficulties in the last group of expressions. Various methods and Even the thinking cannot go deep into the essence of Riemann's conjecture."

"In order to solve these difficulties, I decided to learn German by myself, and I found all the academic works of Riemann and original handwritten notes that I could find in the world to study. In order to find inspiration, I went on a night run three days ago."

"When my physical strength was close to the limit, but my spirit was extremely clear, I finally grasped the key to unlocking the mystery of Riemann's conjecture. Unfortunately, I fell asleep because I was too tired, and I slept until noon today. Now, I My spirit has fully recovered, I decided to use this key to complete the derivation of the fifth set of expressions of the Riemann Hypothesis on the spot!"

"To be honest, I don't have 100% confidence in whether it can be successfully deduced, but I want to try!"

boom!
The audience exploded again!

It turns out that Qin Ke didn't complete the derivation before, he just woke up, and he wants to deduce the last set of expressions of Riemann's conjecture on the spot here!

Countless people were stunned, and countless people were dumbfounded.

No one has ever tried to prove a conjecture on such a serious occasion with only one possible idea, let alone the most important and famous conjecture in the world!
The reporters frantically took pictures, and the camera recorded the whole process.

Qingmu University originally arranged for Associate Professor Sun Liwen to follow Qin Ke to go abroad. This is Qin Ke's old partner, but it happened that Sun Liwen's family child was born, and he took parental leave to take care of his wife and young son, so the school sent another named Feng Wanhua's accompanying teacher.

Feng Wanhua was also repeatedly checking the camera in his hand at this time. Because he was too nervous, his hands were shaking, and he kept praying in his heart that his camera must not malfunction, otherwise he would miss such a historical moment. He was about to become a sinner of Qingmu University, and at the same time his heart was so excited that it almost jumped out. If he could record such precious historical materials throughout the process, it would be of great benefit to him to be named an associate professor in the future.I didn't see that Sun Liwen was promoted to associate professor because he took a few videos of Qin Ke's lectures!

Not only the media and reporters, but also everyone among mathematicians was surprised.

Faltings stood up in disbelief: "He...he wants to deduce it on the spot?"

Professor Tao was equally surprised and delighted, clapping his hands and smiling softly, "Professor Wiles guessed right, this kid really wants to make a big surprise, and it's a big surprise for the whole world!"

On the contrary, Wiles calmed down. He frowned and said worriedly: "Qin Ke is reckless this time, and it can even be said to be reckless. If the on-site deduction fails, it will be a huge blow to his honor and reputation!"

When Professor Andrew Wiles proved Fermat's Last Theorem, he did encounter a hurdle that he almost couldn't pass, because he spent half a year trying to solve the small problems in the proof process. Under the pressure, he was so depressed that he wanted to publish an apology in the newspaper, admit failure, and give up the great honor of "the first to prove Fermat's Last Theorem". It was with the encouragement and support of his colleagues that he reinvested in research and finally succeeded a year later. Using a new mathematical method that combines Iwasawa's theory and Fletcher's method, this small gap is solved, and Fermat's conjecture is thoroughly and perfectly proved, turning it into "Fermat's last theorem".

No one knows better than him the hardships of proving a great conjecture, and a small problem may cause the train of thought to stop.

And now Qin Ke's report will only last about an hour, even if the derivation is only the last set of expressions, this is also the most difficult expression in Riemann's conjecture!
I don't know how many mathematicians have followed Qin Ke's train of thought in the past six months, and have carried out arduous research on the basis of the first four sets of expressions that have been published, trying to derive the last set of expressions, but no results have been published yet Not even a mathematician who publicly claimed to have achieved certain results.

It can be seen that the difficulty of the last part of Riemann's conjecture is high.

In Wiles' mind, even if Qin Ke had a clear idea, it would take at least a month or two to carefully carve out the details to complete the whole derivation, rather than under such immature conditions, Under the pressure of countless people watching, I forced myself to complete the whole derivation process within an hour!

As a senior in mathematics who cared about Qin Ke and admired Qin Ke, Wiles really didn't want to see Qin Ke take such a risk.

Linden-Strausch next to him smiled and said: "Professor Wiles, you have a psychological shadow because of the experience that year, right? If you hadn't been driven into a desperate situation, I am afraid that you would not be able to prove that Fermat is so perfect. Theorem. I think Qin Ke is imitating you, intending to fight with his back and bring out his full potential, look at his expression, his fighting spirit is burning in calmness, this is a real all-out attack."

Wiles observed Qin Ke's expression, and still couldn't hide his worry: "May he succeed."

Not only Faltins and others, many mathematicians are also analyzing the probability of Qin Ke's success in a low voice.

Especially those who came here to "find out the enemy's situation" and are the popular candidates for this year's Fields Medal.

Professor Lepe, a famous German mathematician, Professor Huffman from the United States, Professor Emily Bolivar, a Hungarian mathematician, Mary Siegel, a female mathematician from China, and Mena from the Department of Mathematics of Oxford University Professor De and others were all present. At this moment, they all looked serious and stared at the stage without blinking. There was only one thought in their mind: "Can he succeed?"

Seeing that the scene was about to get out of control again, Qin Ke hurriedly pressed his hand for the third time, and the buzzing in the audience finally subsided.

"Okay, please sit down, please sit down, please be quiet. Next, I will start the derivation of the fifth set of expressions."

Qin Ke held the stylus in his hand and took a deep breath. The huge pressure from behind made him close his eyes subconsciously.

Yes, as Professor Linden-Strausch guessed, Qin Ke is forcing himself to unleash his full potential.

If the first four sets of expressions are mainly due to the knowledge given by the system, then for the last set of expressions, Qin Ke intends to rely entirely on his own mathematical knowledge and mathematical thinking to complete the derivation.

But now he is not in the special state of "Inspiration Amplification". He can only capture the ideas and key keys left over at that time to carry out this derivation.

For this reason, he must stand on the edge of the cliff and stimulate his full potential to complete this most difficult and greatest derivation process.

In addition to the huge pressure, Qin Ke couldn't hide his excitement.

He has been in contact with Riemann's conjecture since the third year of high school. It has been more than three years. 》, the notes he made and the draft paper he wrote may be piled up to more than two meters.

And now, today, here, he will most likely draw a perfect end to this most difficult and meaningful pure mathematical proposition in human history.

Let's get started, officially climb to the peak of mathematics, and pick that extremely bright and sweet fruit!

Qin Ke opened his eyes, holding a pen in his hand, and his eyes fell on the writing board.

When he concentrated all his thoughts and energy on the derivation, everything disappeared, the surrounding noises and gazes, the possible consequences of success and failure, all disappeared in his mind.

There is nothing but the Riemann conjecture!

Qin Ke slowly and firmly wrote down the first line of calculation.

"dy∫(X/x)·dx=∑Xcosξds+(Xcosξ+Ycosη)ds..."

In the audience, countless focused eyes were focused on the big screen, following the trajectory of his pen tip. Many people also took out paper and pens to do calculations and derivations on the spot.

As the lines of calculations were written out like flowing water, the mathematicians in the audience couldn't help whispering to each other.

"Hey, is this a spherical representation of complex numbers? Riemannian geometry is also used."

"Yes, the previous dozen or so formulas are all based on the Riemann sphere, which happened to be connected with the fourth group of expressions, and gradually began to involve the field of complex numbers and differential geometry."

"The function analysis continuation just now is really wonderful, it opened my eyes."

"The differential manifold of Riemann's metric is also used, my God, is this a big skewer of Riemann's main mathematical thinking?"

"It's not a big string, have you found it? There seems to be a clear line in it. The purpose is not to connect Riemann's main mathematical achievements. On the contrary, it is to gradually penetrate into various fields of mathematics through Riemann's own mathematical thinking, and establish The relationship between the Riemann Hypothesis and various sub-fields of mathematics, and even general relativity. My god... this is too clever!"

"Your guess is right. I haven't studied the Riemann conjecture, and I can see that Qin Ke is going to extend the four-dimensional Minkowski space discussed in special relativity to the Riemann space of general relativity... The Riemann conjecture is not just Conjectures related to prime numbers, it involves too much, and the scope of application is too wide! No wonder it is called the greatest unsolved problem! My blood is on fire!"

When Qin Ke was writing the derivation process of the first 20 pages, exclamation and discussion sounded from time to time in the audience, but later, the voice became lower and lower, leaving only a few faces that were slightly perplexed and terrified.

Because after more than 50 pages, there are less than [-] mathematicians present who can understand.

At the end of the page, there are only 20 people who can continue to keep up with the train of thought, including Faltins, Professor Tao, Linden Strausch, and Wiles.

The popular candidates for the Fields Award, such as Professor Lepe, Professor Huffman, Professor Hunbolvar, Professor Siegel, and Professor Maynard, also gradually changed from expressionless to pale.

After waiting for more than 70 pages and more than 40 minutes, Professor Lepe got up and left without saying a word with a gloomy face.

Professor Huffman sighed softly: "Genius... no, this is about to be called a god, right? The 20-year-old god of mathematics, what can I compete with him?" He shook his head, got up and left the table.

Professor Maynard closed his eyes in a daze, sat softly on the seat, and murmured: "I shouldn't have come, and now the last bit of confidence has been blown to pieces..."

Professor Siegel and Professor Hunbolvar looked at each other and smiled wryly at the same time: "I lost."

"Yeah, I lost. I lost so convincingly, I'm afraid God will come, and I will tremble with tremors at this time. Shall we go too?"

"Go, stay, I'm afraid I won't touch mathematics again in two years."

The departure of several popular candidates for the Philippine Award caused a lot of commotion, but only those who could not understand it paid attention to this matter. Faltins and others never left their eyes from the mathematical calculations on the big screen from the beginning to the end. The outside world doesn't care about everything.

Especially Faltings, with an unconcealable excitement in his eyes that his long-cherished wish was fulfilled, kept muttering in a low voice: "This is the real Riemann's conjecture, this is the real Riemann's conjecture, and the Riemann's conjecture is not In a word, it is not a formula, but a huge mathematical system! This is the real mystery of the Riemann Hypothesis!"

……

An hour had passed, but no one protested, and no staff dared to step forward to interrupt Qin Ke's deduction.

At one hour and three minutes, Qin Ke finally stopped writing.

He turned to face the entire audience.

From the focused light, everyone could see the sweat on his forehead and his pale face due to excessive mental exhaustion.

But Qin Ke's eyes are still bright, as if piercing through all the fog of mathematics with a sharp and confident light.

"Sorry, it took 3 minutes longer than expected. The fifth set of expressions has been deduced here. The entire veil of Riemann's conjecture is also unveiled at this moment. Riemann's conjecture is established. It involves Nearly two thousand inferences are also established. In addition, please allow me to pay tribute to the great Mr. Riemann. If I did not completely sort out Mr. Riemann's mathematical thinking and knowledge, I would not be able to complete today's derivation. Finally, thank you Everyone. This concludes my report."

Qin Ke bowed slightly to express his gratitude.

The audience was quiet for a while before erupting into applause that almost set the entire venue on fire.

The Riemann Hypothesis has been proven!Under the watchful eyes of countless people, it was proved!

Ning Qingyun's eyes were full of twinkling little stars, and her pink hands turned red without knowing it.At this moment, she just wanted to send out the scarf again, and announce to the world that this amazing prince of mathematics on stage is the boyfriend Ning Qingyun is most proud of!

Faltings stood up and applauded vigorously with tears in his face. Not only him, but also Professor Lindenstrausch and Wiles stood up and applauded with emotion.

The louder and louder applause gathered into a huge momentum, shaking the venue and even the entire international mathematics community.

The reporters frantically pressed their phones constantly, wanting to send the news back to the agency as soon as possible.

Professor Tao took out his mobile phone and wrote on social media:

"At 8:12 pm on August 4th, this is a historical moment worth remembering, because at this moment, in the auditorium of the Massachusetts Institute of Technology in Boston, a great revolution has taken place in the mathematics world. The past tense has become a thing of the past, and a series of brand-new theorems will be announced and born soon. Congratulations to Qin Ke, there is no suspense for this year's Fields Medal. I am just curious, when will "Time Magazine" award Qin Ke's The photo as the cover."

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(End of this chapter)