My name is Huang Tian, what the hell is this "Heaven is dead" nonsense?
Chapter 159 The cheers that lifted the dome, a sacred hymn!
Chapter 159 The cheers that lifted the dome, a sacred hymn!
After a brief opening remark, Huang Tian began to get down to business.
Instead of directly explaining the argumentation process, he first elaborated on the newly constructed theoretical tools, since the subsequent arguments were based on the new theory. If this was not explained clearly, there would be no need to continue.
"...Existing mathematical theoretical tools have certain limitations in solving the Navier-Stokes equations problem, making it difficult to solve it clearly and intuitively. Therefore, I tried to introduce geometric analysis, topological constraints, and infinite-dimensional dynamical systems into partial differential equations to construct a new mathematical tool..."
His voice was steady and powerful, echoing in the auditorium.
In the aisle below the stage, a reporter from Science and Technology Daily looked completely bewildered, while the cameraman next to him felt his scalp tingling, as if he were about to grow a brain.
"It's only been two minutes and I already can't understand it at all. Is this what mathematics is?" The reporter shuddered and secretly rejoiced that she hadn't chosen mathematics as her major.
The cameraman, on the other hand, tries to clear his mind and concentrate on filming and recording.
If Huang Tian's proof of the Navier-Stokes equations is correct, then the video footage will become an extremely valuable historical document, and some segments will undoubtedly be broadcast as major news.
Besides Science and Technology Daily, several other major media outlets were also filming in the auditorium.
"It's getting harder and harder to understand..." a mathematics master's student from Kyoto University murmured.
A man next to him glanced at him and said in a low voice, "You don't actually want to understand, do you? We're just here to join in the fun and witness a miracle. The real audience is those big shots sitting in the front row!"
"Sigh, I thought that getting into Peking University meant I was one in a million geniuses, but after entering, I realized that geniuses are as numerous as fish in a river. Today, I look up to them with even greater admiration and respect..."
"A genius that's one in ten thousand? Xia Kingdom could give you 140,000!"
"..."
Many students could understand some of what Huang Tian was saying at first, but as time went on and more and more content was introduced and deepened, they gradually became confused, and eventually felt like they were "blind with their eyes open," just staring blankly at the person on the stage constantly opening and closing his mouth, speaking incomprehensible gibberish.
Compared to these students, the invited experts and scholars were naturally much stronger. They not only had a deep accumulation of knowledge, but they had also studied the content of the papers before the report began. Some of them had even communicated with Huang Tian face to face, so they listened to the report relatively easily.
About two hours later, some professors in the field of physics finally began to feel the strain. Although every physicist has to study mathematics, they are not as in-depth as mathematicians.
In particular, although the Navier-Stokes equations are a typical mathematical physics problem, they are mainly in the mathematical realm, making them too difficult to understand and giving one a headache.
In fact, even among the mathematicians present, only 30% to 40% could fully follow Huang Tian's thinking. This is not surprising. Different fields are like different mountains, and for mathematics, even changing a branch is like changing a mountain.
Even someone like you who studies algebraic geometry will be stunned when you hear about topology. Not everyone is as gifted as Terence Tao, who can study more than a dozen branches of mathematics at the same time and produce excellent results in each.
The morning report session started at 8:50 and lasted until 11:50, a full three hours, before Huang finally finished explaining this new theoretical tool.
At this point, the morning's report meeting was considered over.
When he stepped down from the podium, many students in the audience finally snapped out of their daze and excitedly took out their phones to take photos and videos.
Meanwhile, the experts and scholars surrounded Huang Tian and, guided by Chen Yue, Dean of the School of Mathematical Sciences at Peking University, and Li Nuo, Vice Dean, headed to the Teachers' Home.
The Teachers' Home is not a dormitory building for faculty and staff, but a high-end restaurant on campus. It was originally only open to faculty and staff for meals, but later it was opened to all teachers and students for dinner.
The restaurant is located on the shore of Weiming Lake, at the foot of Boya Pagoda, next to a large lawn.
As soon as you enter the restaurant, you see a semi-circular dome, and warm sunlight shines in through the large floor-to-ceiling windows, falling on the sofas and chairs. There is also someone playing the piano next to the spiral staircase, and the melodious music gives people a warm and elegant feeling.
Considering that the invited scholars come from all over the world and have different tastes, lunch is a buffet with a variety of dishes and snacks. They can take whatever they want.
Huang Tian didn't feel hungry and only ate a little. The tall and thin Professor Faltings quickly swallowed a few pieces of bread, then took a cup of warm milk and walked over to Huang Tian to discuss his doubts. Soon, several people gathered around them, chatting and laughing.
Then, Professor Srinivasan approached and said, "Huang, as far as I remember, you don't have a position at any university in China yet. Would you consider coming to NYU? We'll offer you the best possible treatment..."
As the dean of NYU's Tandon School of Engineering and the vice president for engineering and applied sciences, Srinivasan spoke with considerable confidence.
However, he was interrupted by another person before he could finish speaking.
"Going to NYU is far less appealing than going to Princeton. For mathematicians, what university could be more attractive than Princeton, the mecca of mathematics?"
Srinivasan was secretly annoyed upon hearing this. He looked in the direction of the voice and saw Edward Witten speaking with a smile.
His lips moved slightly, and Srinivasan gave a soft snort. "Ultimately, the choice he makes is up to him."
Whether comparing overall school rankings or the strength of its mathematics program, NYU is indeed far inferior to Princeton, but its generous compensation and high salaries are always appealing.
On the other side, Delinfeld said with a smile, "Huang, if you'd like, the University of Chicago would also very much welcome you."
Following that, several other people invited Huang Tian to work at their respective universities—regardless of whether the proof of the Navier-Stokes equations was correct, after these days of exchanges, they discovered that Huang Tian possessed both astonishing breadth and depth in the field of mathematics.
He has profound expertise in every branch of the field, and he also has refreshing ideas and insights into the cutting-edge topics in each branch. Such a versatile and all-rounder has unlimited potential for the future!
Moreover, after these days of discussion, they intuitively believe that there are no mistakes in his paper. For mathematicians, intuition is often very accurate, so now most of them tend to believe that Huang Tian has indeed solved a problem that has plagued the world for more than a hundred years!
Such a brilliant talent has emerged out of nowhere. If we don't recruit him now, when will we?
Looking at Huang Tian surrounded by a group of people, Li Nuo felt helpless. Compared to world-class universities like Princeton and the University of Chicago, Peking University was indeed far inferior, and the chances of Huang Tian choosing to stay at Peking University were too slim...
While Huang Tian and his group were enjoying lunch, many people outside were paying close attention to the situation on the Peking University campus.
"A whole morning has passed, who knows how things are going inside?"
"This report meeting should last three or four days, so there won't be any results yet."
"Although it lasts for three or four days, the last few days are basically a question and answer session, and the conclusion can be reached on the first day."
"Let me answer this. I listened to the reports in the Hundred Lectures this morning and I felt dizzy and my eyes were blurry. I didn't understand 90% of it, but I noticed that the big shots sitting in the first few rows were nodding frequently and not many people looked skeptical. So I guess that so far, Huang Shen's argumentation process has been accepted. We'll just have to see how things go this afternoon."
"Before coming to Peking University, the big shots must have already read Huang Shen's paper. If they didn't think it was basically correct, they wouldn't have traveled all this way."
"Looking forward to the results!"
"Hey bro upstairs, keep checking and reporting! Give me a kick if you have solid news!" "+1, please kick me!"
"..."
It was exactly 2 p.m., still in the auditorium of the Hundred Lectures Hall.
After everyone was seated, Huang Tian stood on the podium and continued his lecture. This time, he would use the theoretical tools he had explained in the morning to prove the Navier-Stokes equations.
"...First, we geometrically reconstruct the Navier-Stokes equations, elevating them to an infinite-dimensional fiber bundle..."
"Within the framework of the above gauge theory, the L^2 norm of the vorticity field can be associated with a Chern-Simons action, which is a variation of a topological invariant and is conserved for smooth solutions under appropriate boundary conditions."
If the solution bursts in a finite time, then the corresponding Chen-Simons form must undergo a topological phase transition…
Flip through the PowerPoint slides, use a laser pointer to illuminate the screen, and occasionally write a few steps on the whiteboards on both sides to ensure the audience can follow along and understand.
"...The above scaling transformation can be viewed as a renormalized group flow defined on the function space. We prove that all possible singular limit must lie on a stable manifold of this renormalized group flow with a hyperbolic fixed point..."
Time passed slowly, and Huang Tian's speaking pace remained unhurried. The students below the stage had long given up on trying to understand and were simply staring blankly as they listened, with some occasionally taking out their phones to record.
Some people were also staring intently at the bigwigs in the front row, trying to guess whether Huang Tian's words were correct by observing their expressions.
"It's 5:10..."
The reporter from Science and Technology Daily rolled up his left sleeve, glanced at his watch, and said, "The afternoon's presentation should be almost over."
Looking up at the PowerPoint presentation on the screen again, it seemed to be almost at the end.
Inside the hall, an inexplicable atmosphere permeated the air. The students suppressed their excitement, their eyes shining brightly, while the experts and scholars involuntarily lowered their breathing.
Tao Zhexuan, sitting in the first row, seemed to be affected by the atmosphere. He subconsciously clasped his hands together, interlocked his fingers, and pursed his lips. Schultz, sitting to his right, noticed his small movements and quietly asked, "It's almost over. Have you made up your mind?"
Tao Zhexuan paused for a moment, then turned his head and answered softly, "Actually, before coming to Peking University, when I finished reading his paper, I was pretty sure that he had really solved the Navier-Stokes equation problem. These past few days of communication with him have made me even more convinced of this. And after listening to him reiterate it in today's presentation, I can confirm that he did it!"
he made it!
Schultz remained silent for a moment upon hearing this. Although he was a Phil Medal winner, he had not studied the Navier-Stokes equations much, so he dared not make a conclusion so quickly.
Unlike Terence Tao, who has studied this century-old problem for many years and made many achievements, Tao has approved Huang Tian's research, so there shouldn't be any major problems.
Schultz turned his gaze to Mr. Qiu and Srinivasan, who were a few seats away. The former had a furrowed brow, seemingly deep in thought, while the latter nodded repeatedly with a smile on his face.
Looking at Faltings, Witten, and Delinfeld, their expressions varied, but their eyes were all fixed on the huge curtain on the stage, their bodies slightly tense.
"He's so young."
A low sigh reached his ears, and Schulz turned his head to look; it was Terence Tao.
This mathematician, who won the Fields Medal at the age of thirty-one and is recognized as a genius among geniuses, is now fifty-one years old.
He was no longer young, and his energy was no longer as abundant as before. Seeing Huang Tian, who was only twenty-four years old, he felt a moment of disorientation, as if he were seeing his former self, full of vigor and ambition.
Although Schultz also marveled at Huang Tian's youth, he wasn't as sentimental. After all, he was only thirty-nine years old and maintained peak energy and intelligence.
Even so, he couldn't help but sigh inwardly: 'A once-in-a-century genius has been born...'
Gauss, Euler, Riemann... a few names flashed through his mind.
On the stage.
Point the laser pointer to turn the PowerPoint presentation to the last page. This page contains no complicated numbers or symbols, only a simple sentence.
Huang Tian read it aloud in a steady and powerful voice.
Therefore, we are convinced that—
The solution to the three-dimensional incompressible Navier-Stokes equations will not produce a singularity in any finite time interval!
That is, the solution is global regularization!
The air fell silent for a moment.
boom!
As if a volcano that had been accumulating for thousands of years had suddenly erupted, Edward Witten and Terence Tao, who were sitting in the first row, were the first to stand up and clapped their hands vigorously.
The second row, the third row... like waves of wheat swept by a whirlwind, nearly three thousand people in the entire venue stood up in unison.
"Wow!!!"
The applause, like a sudden storm, instantly merged into a deafening thunderclap. The sound seemed to have a tangible impact, causing the bright lights in the auditorium to tremble!
The young students blushed, clapped enthusiastically, cheered loudly, and their eyes shone with admiration.
Some experts and scholars clapped enthusiastically, while others had slightly red eyes. They clapped vigorously and spoke excitedly to their colleagues, though their voices were barely audible amidst the cheers and applause. They continued to speak passionately.
Numerous flashes illuminated the scene, creating a galaxy of stars and capturing this moment destined to be recorded in history.
The sound waves rose higher and higher, crashing against the dome of the auditorium, as if trying to lift the roof off!
This is not only a joy at the breakthrough of a century-old problem, but also a celebration of another courageous exploration and success of the limits of human wisdom!
Thank you to SiXiRen for the 100 Qidian coins reward.
(End of this chapter)
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