A genius? I just love studying.
Chapter 204: Subdued
Chapter 204: Subdued (Second Update)
A buzzing sound filled the classroom as the students began to discuss quietly.
They originally thought these bigwigs were here to learn and observe, but now it seems they're here to cause trouble.
People couldn't help but feel indignant.
If it weren't for their status, they probably would have already stood up for Teacher Chen and cursed back.
Even so, their gazes toward Evinan and his group turned dangerous.
Chen Hui was not angry. The fact that E Weinan was able to raise this question showed that he had carefully read his paper and had a deep understanding of the Langlands Program and machine learning. Of course, he could accept such questioning.
He picked up the mouse, accessed the data on his USB drive, and quickly opened a paper—an early work by Academician E Weinan on multi-scale model coupling. "Your 1998 work proved that information loss in nested molecular dynamics calculations can be compensated for by stochastic differential equations, and my model is precisely a higher-dimensional realization of your ideas..."
As he spoke, Chen Hui projected a series of dynamic equations.
"The gradient of the generator parameter θ is forced to match the analytic residue ω_p of the modular form L function, which is equivalent to implanting a number-theoretic singularity in the continuous optimization space. This is just like how you use SDE to compensate for the bandgap in a multi-scale model!"
E Weinan nodded slightly, his gaze narrowing: "So you transformed the local duality corresponding to Langlands into the regularization term of the loss function?"
"But that's not enough!"
Chen Hui knew, of course, that this alone was not enough to answer Academician E's question. He clicked the mouse again to bring up the next chapter of the PPT: "When the weight perturbation δ of the convolutional layer exceeds the threshold, the output material immediately becomes unstable—but if it is constrained within the Langlands rigid radius and g_μν follows the Weil-Petersson metric, even if the structure generated by the GAN is distorted, the topological order still survives!"
"Has differential geometry been used to tame the chaos of neural networks?"
E Weinan frowned. He couldn't determine whether Chen Hui's method was correct. He desperately needed a pile of draft paper, or even an experiment to verify it.
However, he believed that Chen Hui would not speak without reason, so he temporarily suppressed his doubts about the question and continued to ask, "Your core lemma 3.2 claims that fractional Chern classes can be represented as cohomology classes of modular coefficients, but according to the Atiyah-Singer index theorem, Chern classes must satisfy integral quantization! When n=4, how can the Z-value constraint be bypassed?"
Jingle bell bell bell bell…
A series of urgent ringing sounds, like a haunting, demonic chant, accompanied by E Weinan's question that pierced Chen Hui's heart.
Chen Hui stood calmly on the podium, confident of success, until the bell rang. Then he picked up the chalk and drew the fiber bundle eta-invariant modification on the blackboard behind him.
"When the system has boundaries, such as a quantum Hall sample, there is an eta-invariant fractional absorption component! Here, A_ho is precisely the spectral flow connection you are familiar with—the fractional shift of its adjustable topological indices that you demonstrated in your 1985 paper..."
Chen Hui spoke fluently and knowledgeably, as if reciting a familiar story, and was even more familiar with E Weinan's papers than with himself.
Academician E's pupils constricted sharply—he hadn't expected Chen Hui to break the deadlock with his own weapon. He felt somewhat ashamed; decades had passed, and he seemed to have forgotten his past achievements.
Indeed, time waits for no one, and a new generation replaces the old.
Jingle Bell……
The short break has ended, and the next class has begun.
Not a single student left. It wasn't a common occurrence for two prominent figures to discuss matters in public, so naturally, they were unwilling to leave.
In classroom 201, not far from the lecture hall, Professor Wang Maofa walked in with his textbook "Mathematical Analysis".
"Ok?"
He glanced at the empty classroom, then subconsciously left, glancing at the classroom number.
Right?
Where did the students go?
Wang Maofa was confused. He knew that some students would be absent from every class, but it seemed too much for no one to be absent.
He took out his phone, checked the teaching schedule, and confirmed that Mathematical Analysis was taught in classroom 201 of Building 5. He had already attended several classes there, so it was impossible for him to have misremembered.
I walked out of the classroom and dialed the counselor's number. If it was just that they were absent from class, that would be fine, but I was afraid something had happened. Safety is no small matter, and I had to contact the students as soon as possible.
As soon as he stepped out of the classroom, he suddenly saw a crowd gathered outside the lecture hall ahead, and he wondered what had happened.
He remembered that it seemed to be the classroom where the young professor in the college taught. Had something happened?
Step over there.
He had barely reached the door when he knew where all the students who had disappeared from his room had gone.
"Even if your construction holds true at the object level, how is functorality guaranteed? Let φ: X→Y be the adiabatic evolution between topological phases. According to the Langlands program, there should be a commutative graph. The adiabatic evolution-induced φ_* is a continuous mapping, while φ_# is a morphism between discrete categories—how does continuity kill discreteness?"
Academician E Weinan's voice rang out in the silent classroom. Upon seeing the young man on the podium, Wang Maofa immediately understood what had happened.
"Hey?"
When Wang Maofa heard his counselor Zhang Lei's voice on the phone, he hung up without hesitation. What was the point of having a class?
Without hesitation, he squeezed into the classroom and found a high spot to stand.
Even before he arrived, the lecture hall was already crowded with students, and there were no extra seats available.
Chen Hui closed his eyes and remained silent for three seconds, then picked up the teacup on the lectern, took a small sip, and turned to look at E Weinan. "The answer lies in rigid analytic geometry!"
Then Chen Hui began writing frantically on the blackboard. Time passed little by little, and soon the entire blackboard was filled with complex formulas.
"Using p-preced Hodge theory, the continuous evolution φ is elevated to a p-preced periodic ring B_dR! At this point, φ_# becomes a holomorphic mapping of a rigid space, and the discrete mode form is embedded into a p-preced continuous ring—the functor property is thus proven!"
Academician E Weinan stared intently at the blackboard, his cloudy eyes slowly clearing as if a fog had been lifted. Soon, the sharp look he had when he asked the question returned. "I understand—your generator isn't 'fitting the data,' but rather using a neural network to parameterize the fiber bundle corresponding to the Langlands! The discriminator isn't verifying authenticity, but rather the irreducibility conditions of the Galois group!"
Chen Hui nodded, put the chalk back into the chalk box, and that was all he needed to say.
"Twenty years ago, when I proved the convergence of multiscale modeling, I never imagined that the Langlands program could be implemented in this way. But today, the path you revealed for the realization of mathematically constrained AI may be even more disruptive than AlphaFold!"
E Weinan sighed deeply.
"Your grand-disciple is truly remarkable!"
Zhang Jiping looked at Tian Yang beside him and clicked his tongue in amazement, “He showed me how the Langlands program can fuse continuous and discrete, geometry and number theory into a new mathematical alchemy—this will be the holy grail of analysis in this century!”
He had initially felt a pang of regret for his half-month supercomputing privileges, but after this lesson, he not only felt no regret, but if he could really recruit Chen Hui to Yanbei University, he would even be willing to give up another half-month of privileges.
Supercomputing should be used for projects like this!
Yuan Xinyi stared blankly at the blackboard, lost in thought.
He completed the proofs of a series of conjectures of the Langlands program, but his student's application of the Langlands program far surpassed his.
If he used to regard Chen Hui as an outstanding junior, now he considers Chen Hui to be a scholar of the same level and caliber as him.
Considering the other person's excessively young age, he could no longer see the future of this little guy.
In Chen Hui, he even saw the shadows of those shining names in the history of mathematics.
He suddenly remembered a saying he had heard many years ago: the research of mediocre mathematicians throughout their lives is nothing more than saving genius mathematicians an afternoon.
Perhaps he was just that mediocre mathematician who saved Chen Hui an afternoon.
Yuan Xinyi chuckled self-deprecatingly.
As for Wang Qiming, his eyes started darting around not long after the discussion began. Although he had once been a mathematician, he had been in administration for five or six years, and many of his basic theories had become rusty. He simply couldn't understand what Chen Hui and the other person were discussing.
"???"
If Wang Qiming was like this, the other students in the classroom were even more confused, listening with a fog of confusion. The more attentive the students were, the more dizzy they felt, and some even felt drowsy.
But whether it was them or Wang Qiming, upon hearing Academician E Weinan's final words, they all understood that Chen Hui was undoubtedly the winner of this exchange.
Professor Chen actually beat an academician!
The students were quite excited, feeling proud that their teacher was so amazing.
Many students pay little attention to their teachers during class, only to discover after graduation that the teachers who taught them back then could earn tens of thousands of yuan for a single class outside the school, and they realize just how amazing their teachers were.
But now, they don't even have to wait until graduation to know how amazing their teacher is!
The other students also exclaimed how wonderful it was. Although they couldn't even understand what the two experts were discussing, for some reason, it made them feel excited.
Is your team still hiring?
After pondering for a long time, E Weinan suddenly looked at Chen Hui again and asked, "What do you think of me? Can I join your team?"
With in-depth research in condensed matter physics and materials science, E Weinan could see a bright future for this topic. He had no doubt that if it succeeded, the world would be transformed as a result.
"Or should I go back and tidy up my resume, and then come for the interview?"
He wasn't saying this to flatter Chen Hui, but because he genuinely considered it and really wanted to join Chen Hui's team.
"of course can!"
Chen Hui readily accepted, as his team was severely lacking in personnel, especially experienced mathematicians like E Weinan. In particular, E Weinan was an expert in applied mathematics and machine learning, and could largely take over some of Schultz's work, playing a significant role in subsequent model training and optimization.
He had read many of Professor E Weinan's papers and highly recognized Professor E's academic level, so he naturally had no reason to refuse.
Ha ha ha ha!
Eweinan burst into laughter, as happy as a child.
"There are still some details that need to be confirmed."
Mr. E was also a decisive person. He immediately stepped onto the podium and began to discuss with Chen Hui.
Your math level has improved from 4 (9%) to 10%.
Your physics rating has increased from level 3 (99%) to 100%.
Your physics level has been increased to level 4.
Sparks of inspiration collided between two brilliant minds, and bursts of dazzling fireworks quietly bloomed.
Chen Hui's brilliant inspiration made E Weinan more and more excited as he talked, while E Weinan's seasoned experience also provided Chen Hui with a lot of ideas. The two felt like kindred spirits who had met too late.
During their discussion, Chen Hui's proficiency in mathematics and physics quietly improved, and his physics level even silently rose to level 4.
The students in the classroom looked at each other, unsure whether to leave or stay.
The two are now discussing this privately, and they cannot hear each other clearly.
But they were worried that the noise of their departure would disrupt the couple's thoughts, so they all stayed in their seats, holding their breath, afraid of making any noise that might disturb them.
Some students took out their textbooks and sat back down to study them diligently. With their idols in front of them, they were now filled with motivation to learn.
Wang Qiming, sitting in the back row, looked at Tian Yang with a complicated expression.
He originally intended to bring in people from Yanbei University to disrupt things, but now, Academician E Weinan's move has caught him off guard.
Chen Hui has collaborated with Academician E Weinan. So, will his future research take place at Jiangcheng University or Yanbei University?
The discussion lasted for three hours, until it was getting dark. Academician E Weinan was exhausted and physically unable to continue, and Chen Hui and the other person reluctantly ended the discussion.
Academician E Weinan went to the canteen for lunch with Wang Qiming and his group, and made an appointment with Chen Hui to visit the laboratory the next day.
night,
After a busy day, Wang Qiming did not go home, but went to Principal Zhang Pingwen's office.
"You're playing with fire!"
Zhang Pingwen had been waiting for a long time. When he saw Wang Qiming enter, he angrily rebuked him, "If Chen Hui really gets poached by Yanbei University, how will you handle the situation?"
He already knew about what happened this afternoon, and he had even heard rumors about why the people from Yanbei University had come.
The academic circle in China is only so big, and even if we're broken, we're still connected. As the dean of Jiangcheng University and someone who used to work at Yanbei University, he naturally has some connections of his own.
Wang Qiming laughed, "Jiangcheng University can't retain talent with just empty words."
"If Jiangcheng University really can't give Chen Hui what he wants, but Yanbei University can, then sending Chen Hui to Yanbei University might not be a bad thing."
"At least at Yanbei University, he can fully unleash his talents and realize his potential!"
"Do you really think so?"
Zhang Pingwen's anger faltered.
Does it matter what I think?
Wang Qiming had already figured out his thoughts the moment he made the phone call.
"The principal was also a scholar, so he should know that in order to conduct research, it is not impossible to change the location or even the country."
"Be careful!"
Zhang Pingwen frowned. "Don't say things carelessly, or you might get into trouble."
Wang Qiming smiled, rested his hands on the desk, and looked at Zhang Pingwen. "So the key question is, does the principal believe his research can succeed?"
"Whether I believe it or not is irrelevant."
Zhang Pingwen shook his head, "The school is not a place where I, Zhang, can have my own say."
“No, this is very useful!” Wang Qiming said confidently.
The two looked at each other, understanding each other tacitly.
(End of this chapter)
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