Starting from Zhou's guess, to the first major mathematical proposition he completed in a real sense - the proof of the twin prime conjecture, to the Polignac-Lu theorem and Goldbach-Lu theorem, and thousands of subsequent ones. Jubilee Dilemma…
The sky in the distance gradually gained a thin layer of morning light. He stared at the Purple Mountain outside the window in ecstasy, looking at the red color all over the mountains and plains under the mist. After a long time, Lu Zhou spoke.
Lu Zhou originally thought that when he completed this undertaking that countless scholars had dreamed of pursuing for thousands of years, he would feel proud and excited for this hard-won moment, not to mention how much blood was surging in his heart.
…
"It's a pity. I probably won't be able to catch the sunrise this time."
"The Purple Mountain is beautiful, but it is still inferior to the steepness of Mount Tai and Huashan. You young people should take advantage of your convenient legs and feet and really go for a walk on those strange mountains and rocks. Especially Mount Tai. Only when you go up there will you know what is going on." It’s called a panoramic view of the mountains, but you can’t see it here at all.”
The sudden realization that filled my heart was as sudden and beautiful as the unexpected dawn.
After hearing Lu Zhou's order, the drone lying on the bookshelf floated up, and a line of text happily popped up on the small TV hanging below the site.
Algebra and geometry have been unified in an abstract sense. Through a not very complicated theoretical framework, algebraic problems and geometric problems can be transformed into each other, and methods and tools from different fields can be applied to each other.
Looking at the breathtakingly beautiful scene in the distance, the old man sighed with emotion.
"This kind of universe is perfect."
Presumably as those old problems are solved, more problems will be born that are more worth worrying about for future mathematicians.
Everything is burning.
"With it."
Not even the slightest bit of surprise.
The world after Level 10 is what he has been pursuing and longing for.
Since about half an hour ago, when the sky outside the window was still dark, Lu Zhou has maintained his current movements without moving.
After saying hello to the guard on duty in the backyard, Lu Zhou left the community and walked up the stone path. He jogged for two or three kilometers before switching to walking. After a while, he came to a pavilion halfway up the mountain.
Without even realizing it, he has solved so many of the problems plaguing the world.
This step is probably farther than all the roads he has traveled in the past combined.
Lu Zhou sighed softly, and his voice couldn't help but be filled with emotion.
Even at LV10.
Usually when he came here for morning exercises, he would usually turn back, but this time he wanted to continue walking up the mountain on a whim.
Apparently he also noticed Lu Zhou. The old man was slightly startled for a moment, then smiled like two crescent moons at the corners of his eyes and took the initiative to say hello.
As he spoke, he cast his gaze to the horizon and narrowed his eyes.
Of course, mathematics is an evolving subject.
"Me?" The old man was stunned for a moment, and then he laughed and said, "My children are so good, I retired long ago, and now I travel around every day and wander around when I have nothing to do."
So much so that Xiao Ai couldn't help but wonder, had the master crashed
Only the final finishing touches remain.
Wait for at most 5 minutes, and the most beautiful moment in the twenty-four hours on Purple Mountain is about to come.
He hadn't been out for so long that he almost forgot what day of the week it was.
[Master, what are you thinking about? _(：3 ∠)_]
Lu Zhou had never thought about walking to the scenic spot from here, and he had never tried this before.
Looking at the neat lines of calculations on the paper, Lu Zhou's lips gradually turned into a smile from the bottom of his heart.
The haze that shrouded the mountain was dispelled.
Almost at the same moment the words fell.
Lu Zhou moved his stiff arms and dropped these words with a smile. He ignored Xiao Ai's unwilling emojis on his face and turned around and walked out of the study.
"Whenever you can behave more maturely, I will consider taking you to a crowded place."
I saw him wearing a woolen vest, holding a brown glass in his hand, and drinking hot tea soaked in wolfberry.
"It's the same when you look at it from the mountainside."
Zhongshan International is built on the edge of Purple Mountain. After exiting the back door of the community, there is a winding path up the mountain. If you are not tired, keep walking. After climbing several hills, you can even go directly to the scenic area of Zangjing Pavilion.
The world in the future should not be too boring.
"Grothendieck was right."
…
"Maybe you can't see it."
Of course.
At this moment, he took a step forward again.
"Hey, Academician Lu, you are so interested today that you came to climb the mountain early in the morning."
Everything seemed to fall into place.
However, when this moment really came, compared to emotions such as excitement, his heart was more filled with the sudden realization and a faint calmness of relief.
"Isn't it small to see all the mountains at a glance?"
"Not only that, all numbers in nature can be abstracted into a point on a high-dimensional surface. And all geometric images corresponding to algebraic expressions can ultimately return to the same surface through topological transformation... "
turn out to be…
At this point, there is no longer any suspense about the outcome.
From here to the top of the mountain, even jogging takes half an hour.
Squinting his eyes and looking at the burning golden auspicious clouds not far away, Lu Zhou suddenly smiled and said.
[Okay, master, master, do you want to take Xiao Ai shopping? ヾ(≧▽≦*)o]
As if he was doing something that had been repeated countless times, Lu Zhou, who was sitting at his desk, quietly added the last brick to the completed building.
Not a single pause.
"Let's go."
On the second line at the end of the page, the pen stopped writing the last punctuation mark.
Lu Zhou put on his sports clothes and running shoes, put a towel on his shoulders, told Xiao Ai to fly higher, and then jogged out of the front yard of the villa.
If I don't go out for a walk, I'm afraid my whole body will become rusty.
"Why go shopping? Let's go hiking!"
Without the preparatory work he had done before, he would never have been able to get to where he is today.
Xiao Ai: [(·▽·)?]
I stopped writing for half an hour and started writing again.
"I really miss it."
[Eh? It’s mountain climbing again... (￣△￣;)]
The sky in the distance has been burned red. The boundaries between the sky, clouds and mountains are merged into one, making it impossible to distinguish one from the other.
Even if all the propositions he had solved, including the Riemann Hypothesis, were weighed on the same side of the scale, they would probably not be as important as the thing he completed half an hour ago.
After hearing what the old man said, Lu Zhou smiled casually and said.
The golden morning light falls.
"... looking back on the road we have traveled."
Looking at the calculations on the paper, Lu Zhou spent about five minutes feeling nostalgic. Then he casually sent an email to Professor Faltings, then pushed away his chair and stood up.
Many old problems, in the face of these new methods, are even too simple to be called problems at all...
"I've been staying at home for too long, so I went out for a walk. By the way, I saw if I could climb to the top of the mountain before it gets completely bright and watch the sunrise before going back." Looking at the dim sky and squinting his eyes, Lu Zhou smiled. He smiled and continued, "Speaking of which, what does the old man do?"
After entering the pavilion, Lu Zhou was about to take a rest when he suddenly found an elderly man sitting on the stone bench of the pavilion.
Although Lu Zhou definitely didn't know him, because he often watched the news broadcast and lived in the same community, the old man obviously recognized Lu Zhou.
It's already in his eyes...
"In this universe, there does exist a 'universal cohomology theory', whose value is in the Q-category composed of Motive. And the cohomology of any coefficient can be calculated using the cohomology of the Z-coefficient. "
"The path for those who come after us should be much easier."