A genius? I just love studying.
Chapter 122 The Limits of Memory
Chapter 122 The Limits of Memory
Fang Wen didn't expect the paper to be published so quickly. Although the Journal of Algebara is known for its fast review cycle of 2-4 weeks, passing the review does not mean that it can be published immediately. There is often a waiting list, especially for journals like the Journal of Algebara, which often receive many submissions, making the waiting list even more serious.
He never expected that his article, submitted only a month and a half ago, would be published so quickly. He had never heard of such a speed before.
If the Journal of Algebara wasn't genuinely unable to receive any more manuscripts, then there's only one possibility: the reviewers and editors considered this paper to be of very high quality, so they rushed to publish it!
First, he sent Chen Hui a WeChat message to tell him the good news that the paper had been published. He hadn't told Chen Hui about being the second author before because the paper was still pending, but now that everything was settled, he naturally had to inform Chen Hui.
Then he turned on his computer and opened the "Award Application" folder that he had specially created these past few days. There were seven or eight documents inside, all of them application forms for various awards. He had already filled in most of the information and only needed to modify the relevant information in his paper.
After making the revisions, he began to apply for each award through the designated channels.
More than an hour had passed by the time I finished doing all of this.
Fang Wen stretched, took out his phone with satisfaction, and logged into Weibo.
While waiting to enter the app and watch the splash screen ad, he suddenly remembered that a few days ago when those people questioned Chen Hui, he had spoken up for Chen Hui and even mentioned the thesis. However, at that time, netizens had ridiculed him to the extreme.
Now that the paper has been published, we have to give it a good rebuttal!
Fang Wen was already excited just thinking about it.
Without hesitation, I clicked on my profile and opened my comments. I found that my message list already had 99+ messages. Although a long time had passed, the topic was still very popular because Chen Hui kept showing his face.
He ignored the messages that replied to him and instead posted a screenshot and link to his published paper in the comments section of his own reply.
Not satisfied with just posting, he replied again, "Where are those who questioned it? Come on, apologize!"
Full of confidence, Fang Wen couldn't help but grin smugly, feeling like the male protagonist in a wish-fulfillment novel. "Thirty years east of the river, thirty years west of the river, never underestimate a young man's potential."
He didn't expect anyone to actually apologize; he just wanted to have fun. After surfing the internet for so many years, he knew the rules: when things were going well, he'd fight; when things were going badly, he'd play dead. He didn't just talk about others; he did the same thing himself.
He exited the comments section, only then noticing that the topic's popularity had actually increased rather than decreased.
CMO Gold Medal First Place, One of Only Four Perfect Scores!
Good guy!
Only then did he realize that in just a few days, Chen Hui had first won the Asai Gold Award, and then won the CMO Gold Medal. This guy was simply a gold medal harvester.
When they first met Chen Hui at the provincial competition, everyone thought he was a very talented young man and he was still quite green when he went on stage to receive the award. Then, when the results of the preliminary round of the competition came out, he had already shown his talent. They thought he was a genius and that he might achieve great things in the future. Then, Chen Hui went on to win the gold medal at the competition and the first place in the CMO gold medal competition.
Chen Hui truly surprised him time and time again, and his progress was getting faster and faster. From first place in the provincial competition to first place in the CMO gold medal, only three months had passed. He seemed to be making a name for himself when he finally made a name for himself.
If someone tells him in a few days that Chen Hui has won the Fields Medal, he probably won't be too surprised. It seems unsurprising that guy can achieve anything.
"Wow, the poster is serious! I checked, the paper is real, and the person is real too!"
"666, SCI Q2! When will I be able to publish a paper? I really want to graduate, my eyes are red with envy."
"Red eyes are a medical condition; I suggest you see an ophthalmologist."
"The person upstairs should probably get their head checked. High school students can get published in Q2 journals, and you, a graduate student, can't? There's definitely something wrong with your brain (doge)."
"Bro, I'm a PhD student (laughs while covering face)."
"Could this be a photoshopped image? Although I'm not a math major, I know how difficult it is to get an SCI Q2 paper."
"You don't know anything! They've already given us the link, why don't you click on it and see? How could it be fake? Do you think we're all idiots?"
Wow, after going out for a stroll and checking back, Fang Wen discovered that there were already so many comments below.
Seeing the comments from everyone—some filled with envy, jealousy, hatred, some with doubt, and some with debate—he couldn't help but curl the corners of his mouth, beginning to understand what it meant to have "great scholars to debate the classics for me."
"Wow, A Sai won the gold medal, got a perfect score in the national CMO competition, and won first place in the gold medal competition. This guy is a true genius!"
"It is recommended that Yanbei University make an exception and admit him."
"The person upstairs must be an idiot. The top 60 in CMO can get you a guaranteed admission to Tsinghua or Peking University. He got a perfect score and tied for first place. What's the point of breaking the rules?"
"The Barbary Mathematics Competition is really something. Those who can win the gold medal are really good. They can easily beat other contestants at the CMO."
"I majored in mathematics. The difficulty of the Asahi Mathematical Olympiad is even higher than that of the CMO. If I can win a gold medal, it is not surprising that I can get a perfect score in the CMO."
"Is Asai really that good? This math novice is asking quietly, why can't Asai, who won the gold medal, get a guaranteed admission to Tsinghua or Peking University?"
With his graduation thesis ready, Fang Wen spent his time in the research office doing his usual routine of fighting cocks and walking dogs. He started surfing the internet intensively, and while looking at everyone's comments, he felt that something was off, but he couldn't quite put his finger on it.
"Fuck me!"
"Fang Wen, you published a paper?!"
Just as I was pondering this, a sudden exclamation erupted in the teaching and research office.
"It's just publishing a paper, what's the big deal?"
A PhD student who was interrupted from reading his paper rolled his eyes and said with an annoyed look, "Everyone who studies mathematics has to publish a few papers."
"But he published it in the Journal of Algebara!"
The doctoral student who exclaimed in surprise stared blankly, muttering to himself as if in a nightmare.
"Journal of Algebara?"
The doctoral student, who had been disturbed, raised an eyebrow, thinking that the other person had misspoke.
They were studying this field, so they naturally knew what the Journal of Algebara was. Although it published quite a few issues, it had a significant influence in the industry and was in SCI Q2. These doctoral students who wanted to graduate naturally knew it very well.
Therefore, he was even more aware of the difficulty of submitting to the Journal of Algebara.
He knew Fang Wen's abilities; even with Wang Jianwei's help, the chances of him publishing in the Journal of Algebara were slim.
With this in mind, he went directly to the Journal of Algebara's official website, clicked on the latest issue, and quickly found Fang Wen's name and the first author's affiliation: Chengdu University!
Who else could it be but Fang Wen from their teaching and research office!
Good heavens, they actually published in SCI Q2!
Not to mention netizens, even his senior brother was green with envy. He now understood why that junior brother was so excited. If he had been the first to discover it, he probably would have been just as excited.
The exchange between the two doctoral students naturally attracted everyone's attention, and soon everyone saw Fang Wen's paper.
"Wow, he's done something big without making a sound!" While feeling envious, they were also happy for their junior brother, and his fellow disciples came to congratulate him.
"Wait a minute, Fang Wen, who is this Chen Hui you're referring to as the second author? He's neither the director nor the senior brother?"
Soon, someone discovered the key point.
"Hehe, thank you everyone!"
Fang Wen also smiled smugly and replied, "As my senior brother and supervisor know, this paper was published in the Journal of Algebara, and Chen Hui was the main contributor, so it's only right that he's given second author status."
"Oh? Which department does this Chen Hui belong to?"
The senior students suddenly realized that they understood Fang Wen's level. No wonder Fang Wen was able to publish in the Journal of Algebara; it turned out he had strong external support.
"It's not a senior or junior from any research group, it's Chen Hui, the one who came in first place in the provincial competition last time!"
"Huh? You mean that high school student?"
"what."
"???"
"Holy crap, are all high school students this weird these days?"
"Now I know exactly what kind of people are flying in the sky when they're studying mathematics... I want to go home..."
Everyone had their own thoughts, but they all returned to their seats without prior arrangement and downloaded Fang Wen's paper to study it carefully. They wanted to see what kind of paper Fang Wen had written under the guidance of that high school student.
……
Your math level has improved from 2 (74%) to 75%.
Your English level has improved from 3% to 4% (Level 2).
Your English level has improved from 4% to 5% (Level 2).
"The duality conjecture, a geometrical application derived from higher-order category theory!"
After making a brief note on the paper, Chen Hui was immediately bombarded with several comments.
The improvement in math proficiency was expected, but I didn't expect my English proficiency to increase by 2% so dramatically. The improvement in memory was truly remarkable.
For the average person, memorizing an English word often requires a lot of repetition and frequent use in order to remember it firmly.
After Chen Hui improved his memory to 2.6, he could look up most words in papers only once and barely recognize them the next time. After encountering them a few more times, he could form permanent memories. It can be said to be a beginner version of photographic memory.
He originally thought that this was the limit of his memory. Even if he improved his memory further, it would only make the process faster and the things he could remember more complex.
But at this moment, he realized that photographic memory was not the limit of his memory.
After his memory improved to 3.6, he felt that the things in his mind began to be categorized. Although they were not yet as neat and organized as a library, they were already showing this trend.
In other words, if he continues to improve his memory, he will be able to store all the knowledge he sees in his mind, and then when he needs it, he can easily find it just like a computer retrieval!
Ordinary people may never encounter this situation in their lifetime because they forget many things, so they can retrieve them quickly, as if the human brain does not have a retrieval process at all.
But as you accumulate more and more memories, the retrieval process will gradually become more problematic!
In terms of retrieval, the human brain has always been superior to computers, but not necessarily in terms of storage capacity. Theoretically, there is no upper limit to computer storage; the more content stored, the more complex and slower the retrieval becomes.
Therefore, as memory improves, not only does the speed of memorization increase and the amount of information that can be remembered increase, but the structure of memory is also transformed, improving retrieval speed. This allows Chen Hui to memorize content that is dozens or hundreds of times greater than that of ordinary people, yet he can retrieve the content he wants instantly, just like an ordinary person.
Otherwise, as he memorizes more and more things, his reactions will become increasingly sluggish. Thinking about it this way, this change seems quite reasonable.
He suddenly understood why many geniuses simply couldn't understand ordinary people.
In a world of geniuses whose memory is rated at 3.x from birth, isn't high-capacity, fast retrieval an instinct?
Ordinary people need to put in dozens or even hundreds of times more effort to barely achieve the same results!
He let out a soft breath. Now, he could be considered a genius, right?
Chen Hui quickly regained his composure and focused his attention back on the paper in front of him. Turning to the next page, he realized that it was the last page of the paper.
In just over a day, he had read five papers on the Langlands Programme and gained a relatively clear understanding of it, figuring out what it is, why it is important, how to implement it, and what the current difficulties are.
This is also Chen Hui's problem-solving framework when encountering a problem or an unfamiliar object: first figure out what it is, then understand how it does it and why it does it, and finally solve the problem. Many times, this approach solves the problem easily.
The Langlands program is a vast network of conjectures in mathematics that aims to reveal the deep unity between number theory, geometry, and representation theory, thereby overcoming the limitations of class field theory, unifying number theory and harmonic analysis, and revealing the symmetry of mathematical structures.
In particular, the symmetry is similar to that in physics. If a breakthrough can be made in this area, it may lead to a huge, epoch-making breakthrough in mathematics, just like Einstein's establishment of the theory of general relativity.
Its core claim is that objects in different mathematical fields, such as Galois group representations and automorphic forms, can be linked through L-functions and duality correspondences.
Meanwhile, the Langlands program is divided into the classical version and the geometric Langlands program. The classical version focuses on arithmetic problems in number fields, while the geometric Langlands program transplants this framework to geometric objects such as algebraic curves, reconstructing duality using geometric language.
The core objective of the program is to establish Langlands correspondences, that is, the equivalence or duality of two seemingly unrelated mathematical structures.
For example, the geometric Langlands conjecture asserts that a G-local system on an algebraic curve can be one-to-one corresponded to the ^LG-D-module category on the other side, where ^LG is the Langlands dual group.
To achieve this goal, the Langlands program used a series of key tools, such as L-functions and harmonic analysis, encoding arithmetic information through automorphic L-functions, and using tools such as trace formulas to match objects on different sides.
For example, in geometric representation theory, the Hecke operator acts on layers in the modulus space, and constructs functors to achieve category equivalence.
For example, physical duality, such as the S-duplication in supersymmetric gauge theory, provides a physical interpretation of geometric Langlands. Kapustin-Witten views correspondence as a dimensional reduction of 4-dimensional theory, and so on.
This conjecture is undoubtedly grand and epoch-making, but it also faces enormous challenges, such as the technical barriers in non-Abelian cases, the complexity of representation theory for higher-order dual groups making it difficult to construct explicit correspondences, the need to develop new geometric and topological tools to deal with the infinite-dimensional properties of modular spaces, and the need to overcome the abstract complexity of homotopy theory and derived algebraic geometry when elevating it to the equivalence of higher-order categories.
The more problems Chen Hui encountered, the happier he became, for each problem was a gateway to success!
Yuan Xinyi's research focuses on categorization and derived geometry, and it seems that he has made groundbreaking progress in this area.
Among the remaining problems, solving infinite-dimensional geometry problems requires the development of new geometric and topological tools, which is the direction of inventing new tools that Fang Wen once mentioned.
Chen Hui pondered,
Perhaps it's time to put the enhancement of creativity on the agenda.
(End of this chapter)
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