Top Student: Wasteland Technology Invasion
Chapter 37 Mathematical Conjectures
[Time Travel Countdown: 00:18:51]
Lin Chuan discovered that the 4-hour wasteland timer boosted by the math upgrade was not immediately updated to the travelable time.
The original 8-hour wasteland timer has now been reduced to only 18 minutes and 51 seconds.
However, after activating the Two Realms Travel - Bullet Time skill, the number of seconds stopped.
Lin Chuan looked around and found that the world seemed to have been frozen in time in a movie.
The once vibrant and colorful world has turned into black and white.
At the same time, a line of small ink characters suddenly appeared before his eyes.
[Two-World Travel - Bullet Time is now activated and can be set to automatically activate within the anchor point range: Seize the initiative within 0.5 seconds, even if ambushed, you can gain 0.5 seconds of reaction time and leave the opponent in a dazed state.]
Upon seeing this explanation, Lin Chuan instantly understood the function and usage of this derivative skill.
Although 0.5 seconds may sound short, it can significantly improve his safety.
In that 0.5 seconds, he can react many times faster than an average person.
The key is that once the skill is automatically activated, he is virtually invincible as long as he is near the anchor point.
The prerequisite is that you have enough learning coins.
Within 0.5 seconds, he can launch a counterattack or activate the skill: Crossing Between Worlds to return to the real world at any time.
With this skill, his safety while exploring the wasteland will be greatly improved!
……
Yueyang University.
library.
Back in the real world, Lin Chuan felt a little regretful, because the two-world travel—bullet time and scientific intuition—could not be activated in the real world.
This thwarted some of his original ideas.
However, for the sake of learning efficiency and safety in the wasteland world, he now needs to work harder to study in the real world and earn learning coins.
By the way, I will also strengthen my knowledge of weak conjectures related to BSD.
Specifically, the higher-order GGP conjecture profoundly connects representation theory, number theory, and arithmetic geometry. For many years, countless mathematics enthusiasts and scholars have repeatedly tried to prove the conjecture, but have never succeeded.
What Lin Chuan needs to do now is to study the advanced GGP conjecture using his own methods, based on Mr. Phineas Barkley's in-depth yet easy-to-understand explanations in the wasteland world.
The first thing is to read books.
The book list is quite long.
"Automorphic Forms and Automorphic Representations" J. Cogdell, H. Kim, M. Murty,
"An Introduction to the Langlands Program"-Bernstein, Gelbart......
Lin Chuan searched the entire library of Yueyang University but only found two books.
He also had his own guesses as to the reason.
These books are either only available in Princeton or Cambridge libraries, or they are simply unique copies, like Professor Alexander Grothendieck's manuscript.
Either these books will be written at some point in the future.
Having no time to delve into the intricacies of the subject, Lin Chuan opened his book and began reading, occasionally scribbling and drawing on the draft paper with the pen in his hand.
After his math skills improved to level 3, his comprehension ability improved significantly again. Now, even without activating the skill "Scientific Intuition," he can barely grasp the ingenuity contained in these professional books.
After many days, Lin Chuan once again found the same state of mind he had when he took the test for the Qiushi Class.
Focused, self-centered.
The only things in the world were the books before him, and the paper and pen in his hands.
[Learning Coin +1]
[Learning Coin +1]
[Your hard work has earned you +1 math experience]
Countless operator symbols flowed from his pen.
Lines of beautiful mathematical expressions, like some kind of secret incantation, unfolded on the draft paper.
Time ticked by, and Lin Chuan consumed the draft paper at an alarming rate.
……
Today is October 4th, and the National Day holiday is just halfway over.
The library at Yueyang University was packed with students.
At lunchtime, a male math student next to Lin Chuan, who was preparing for the postgraduate entrance exam, stretched and got ready to pack his things to go to the cafeteria for lunch.
Zhang Zhi suddenly noticed the sheets of draft paper on Lin Chuan's desk and the exaggerated arithmetic symbols on them, and he was completely stunned.
What is this seemingly young junior doing?
So engrossed in yourself?
Most importantly, what kind of problems require dozens of sheets of scratch paper to solve?
After taking a closer look, Zhang Zhi could roughly tell that Lin Chuan started by writing about periodic integrals in representation theory, and then moved on to L-function values in number theory.
However, as Zhang Zhi continued reading, he couldn't quite understand it anymore.
Just as Zhang Zhi was curious and about to ask his junior what he was trying to prove, he saw small English words written on the draft paper: Gross, Gan, Prasad.
"Gross-Gan-Prasad?"
"GGP conjecture?"
Zhang Zhi's eyes widened instantly, and when he looked at Lin Chuan, who was engrossed in solving problems, he looked at him like he was crazy.
"Could he be from the 'Seeking Truth' class?"
"You've gone mad from studying too much, trying to prove mathematical conjectures at such a young age."
"It's still this kind of extremely difficult world-class mathematical conjecture."
Although Zhang Zhi had not studied mathematical conjectures, as a mathematics student at Yueyang University, he still had some "appreciation" ability.
As is well known, there are many conjectures in the mathematics community.
Among them, the most famous are the seven major conjectures, including the Riemann Hypothesis, the Navier-Stokes equations, and P and NP.
The Poincaré conjecture has been proven, and six of the seven conjectures remain unsolved.
If these six conjectures were to be ranked, they could be called the T0 conjectures.
Solving any one of them would have a revolutionary impact on the mathematics community.
Mathematicians can win a series of international awards such as the Fields Medal, the Abel Prize, and the Ramanujan Prize with this, and can become professors at any university in the world, or even be elected as national academicians.
Below T0 are the T1 level problems, such as Goldbach's conjecture, some problems in the Langlands program, or some conjectures proposed by Hilbert.
Further down the line, the distinction between T2 and T1 is not so obvious, and the classification is more subjective and relatively controversial.
As for the conjectures at the T3 level, all weak conjectures of the T0, T1, and T2 conjectures can be classified into this category.
The GGP conjecture is a subset of the T3 conjecture.
Don't underestimate the T3 hypothesis. If someone actually proves it, they could potentially get a Ramanujan Prize nomination or even a Fields Medal nomination based on it.
result?
This junior student, who has only been learning math for a short time, is about to try to prove this conjecture?
Is he out of his mind?
Shaking his head, Zhang Zhi stopped looking and turned to leave.
……
At this moment, Lin Chuan was completely immersed in the ocean of knowledge about automorphic forms and the foundations of representation theory.
After two upgrades, his math learning efficiency has improved so much that he now has a deeper understanding of the knowledge in the book, as well as the book in the wasteland world, "Some Discussions on the Weakened Version of the Bech and Swinnetton-Dale Conjecture".
In this state of deep concentration, Lin Chuan could not possibly notice the senior student from the School of Mathematics who had just passed by him.
In fact, he not only failed to notice his senior, but he also failed to notice whether he was hungry.
This continued until evening.
Lin Chuan let out a long breath, leaned back in his chair, feeling completely drained.
I feel a bit lightheaded, and I'm really tired and hungry!
I've missed both lunch and dinner.
"I haven't been this engrossed in studying math in a long time."
"Don't even mention it! Studying mathematical conjectures is actually quite interesting; you could say it's a time killer!"
The harvest was quite good.
Lin Chuan excitedly picked up the draft papers and flipped through them with a sense of accomplishment.
With his current level of mathematics, it's still too difficult for him to reproduce higher-order GGP conjectures, but he did take a small step forward today.
In addition, he also received 42 learning coins and 5 math experience points.
That's quite a gain.
Rubbing his stomach, Lin Chuan stood up, gathered the books and draft paper on the table, and walked out of the library.
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