A genius? I just love studying.

Chapter 110 Try to derive the cyclic space using the ∞-category of condensed matter.

July 9th, morning, first floor of Zhihua Building,
A large group of young faces occupied the space. They were wearing T-shirts, jeans, and faded school uniforms; clearly, they were a group of high school students.

With their backpacks, they seemed out of place here.

But their backpacks were covered with sticky notes about their mistakes, making them look like walking question banks, which made them seem unlike ordinary high school students.

Today is the opening ceremony of the National Middle School Students' Mathematical Olympiad Summer Camp, also known as the CMO.

Chen Hui followed the crowd into the lecture hall, found a seat at the back, and took out his book to continue studying.

Li Zehan and Wang Xiao sat on either side of Chen Hui, and they also took out their study materials and studied them silently.

Deng Leyan also came to the lecture hall with her roommate. The three of them walked in chatting and laughing, and then naturally went to their respective school circles.

Although the participants from each province come from various schools, there are only a few prestigious schools in each province, and most of the participants come from these schools, so naturally, they tend to cluster together based on their schools.

Deng Leyan did the same, walking towards the gathering place of Tiewu Middle School. As he walked down the corridor, he suddenly saw Chen Hui and two others sitting in the back row studying, and he couldn't help but be a little lost in thought.

This guy seems to have a magical power that turns everyone around him into a whirlwind.

Although those present are all outstanding middle school students, a few hundred selected from over 30 million middle school students, they are still just sixteen or seventeen-year-old boys and girls, an age when they are curious about the outside world.

As newcomers, they were still immersed in the novelty of their newfound arrival, whispering among themselves or excitedly discussing with their classmates.

Chen Hui and his two companions, sitting quietly reading, seemed somewhat out of place in this environment.

The two guys in school uniforms next to him, one from Shanghai High School and the other from Zhijiang No. 4 High School, are both top-tier high schools in their respective provinces, and they have quite a few students participating in the competition this time.

Instead of sitting with their classmates, they gathered around Chen Hui.

How long has it been since?

It's only been half a day and one night!

As if by some strange twist of fate, Deng Leyan, who was originally going to go to the side of his classmates at Tiewu Middle School, walked to the seat behind Chen Hui and sat down. He also took out his study materials and began to study, perfectly blending in.

His actions were fine with the others; they just assumed the four of them were together. Although this group, composed of students from different schools, seemed a bit conspicuous, everyone could understand it—who doesn't have a few friends outside of school?

The students at Iron House Middle School stared wide-eyed, wondering what had happened.
The participants from Zhijiang No. 4 Middle School were just as dumbfounded as they were.

Although the students at Shanghai High School found it strange, they weren't surprised since it was Li Zehan.

"Hey, Duoduo, what's the deal with that guy from Rongcheng No. 2 Middle School?"

The students from Zhijiang No. 4 Middle School patted the students from Tiewu Middle School next door. They had just been assigned to the same dormitory. In just one day, they had gotten to know each other. Geniuses always appreciate each other.

"You haven't heard of it?"

"A monster that suddenly appeared, got a perfect score in the provincial competition, and just got eighth place in the preliminary round of the A-Sai competition last month. I wonder how he did in the final a few days ago."

Li Zhenduo from Tiewu Middle School also sighed in disbelief. They originally thought Deng Leyan was already abnormal enough, but they never expected that there would be someone who could crush Deng Leyan.

Judging from the way Deng Leyan is now willingly sitting behind the other party, he has clearly been beaten into submission.

"Eighth in the preliminaries?"

The student from Zhijiang Middle School pondered these two words, his clear eyes filled with confusion. With their heavy academic workload, they simply didn't have much time to learn about this kind of information.

Let alone Chen Hui, who came in eighth in the preliminaries, they wouldn't even have heard of the Barbarya Competition if Jiang Sheng hadn't become a sensation last year.

"The Barbary Global Mathematics Competition is so prestigious that you can easily find out its value by searching it on Baidu."

Li Zhenduo was also somewhat confused. Since childhood, countless people had called him a genius, and he believed so too, even aspiring to become a mathematician when he grew up.

But look at Deng Leyan, and then look at the guy in front of Deng Leyan.

If all math enthusiasts are like this, what kind of mathematician would he be?

"Fuck me!"

Lost in thought, a gasp of surprise erupted from the side.

"That Deng Leyan from your school is a monster too, he even made it into the top 100 in the preliminaries."

Unlike netizens, they might doubt Jiang Sheng, but not Chen Hui, because they had done the questions from this year's Chengdu Provincial Competition, and none of their school got a perfect score. So they naturally knew the value of this perfect score in Chengdu.

Asai might have cheated, but cheating is not allowed in the National High School Federation.

"How hopeless!"

"With so many monsters in the CMO this time, how are we supposed to play?"

This student from Zhijiang Middle School was somewhat desperate, "I'm already a senior in high school this year!"

Li Zhenduo looked at him sympathetically. They had become accustomed to setbacks in Chengdu and were now able to adjust their mindset well.

"Rongcheng No. 2 Middle School? I've never heard of it before."

"Who is that guy?"

"No, it feels so strange that Chengdu No. 2 Middle School is mixed in with Shanghai High School, Zhejiang No. 4 Middle School, and Tiewu Middle School."

Before the opening ceremony even started, the students looked in the direction of Chen Hui and his group of four and began to discuss it.

Everyone can understand the combination of students from the school, but what schools are the other three from?
That was a top-tier university that they had heard of even in other provinces!
Even if they searched online, they might not be able to find any information about Rongcheng No. 2 Middle School.

Chen Hui did wear his school uniform today.

Actually, Rongcheng No. 2 Middle School doesn't have a formal school uniform. This uniform was specially made by Zhao Defeng before Chen Hui came to participate in the CMO.

Chen Hui agreed to the principal's request to wear the school uniform to all activities during the entire CMO period.

The school treated him well, so he naturally had no reason to refuse.

Soon, the opening ceremony began, and as instructed, everyone stood up and sang the national anthem.

After the national anthem was sung, the entire auditorium fell silent.

Following this were speeches from the Vice President of Yanbei University, Academician Tian Yang of the Chinese Academy of Sciences and President of the Chinese Mathematical Society, Vice Presidents, student representatives, the Deputy Secretary of the Party Committee of the Beijing Municipal Education Commission, and the Vice Mayor of Beijing…

Endless speeches.

Chen Hui was somewhat surprised. Judging from the identities of the people speaking, the CMO seemed to be much more important than he had imagined.

But what stunned him even more was that after these speeches, one by one the actors went on stage and began to perform.

Artistic performance!

For a competition as serious as CMO, there was actually a cultural performance at the opening ceremony.

Chen Hui was at a loss for words, both amused and exasperated.

Many students watched with great interest. For them, who were immersed in a sea of ​​questions and lacked entertainment, this artistic performance was surprisingly wonderful.

Chen Hui quietly left his seat, picked up his backpack, and walked out of the lecture hall.

He could continue reading while the leader was speaking, but when the loudspeaker in the auditorium was turned up to full blast, even he felt his heart pounding with the sound, making it impossible for him to concentrate on his textbook.

call!
Stepping out of the lecture hall, I was immediately enveloped in silence; the whole world seemed to quiet down.

"Brother, where are you going?"

"Are we going to eat?" The world, which had just quieted down, became noisy again. Little Fatty Li Zehan followed out with bright eyes. "Yanbei University truly lives up to its reputation as a prestigious university. The cafeteria is so much better than our school's. The farm is simply a food paradise!"

"I want to go eat the mutton stew on the second floor!"

Li Zehan was practically drooling as he spoke.

Not only him, but Wang Xiao and Deng Leyan also came out.

Chen Hui didn't answer. He looked at the time; it was just past 10:30. Going to eat at this time was far too early.

Let's find a classroom to study.

With their schoolbags on their backs, they searched for empty classrooms on the first floor of Zhihua Building.

He didn't plan to go too far, so that he could get back to the lecture hall as soon as possible if anything else happened.

After searching for about ten minutes, they finally found an empty classroom.

It wouldn't be accurate to say it was completely empty; there was actually one person inside.

A middle-aged man, around thirty or forty years old, was standing on the podium with chalk in hand, his back to the audience, staring at the blackboard full of formulas and symbols. His expression was obscured.

This is a big classroom. The teacher is doing his own research. They can go in and study quietly without disturbing each other. There shouldn't be any problem, right?

Chen Hui stepped inside, found a seat in the last row, and began studying.

There weren't many classrooms on the first floor of Zhihua Building, and empty classrooms were even rarer. He didn't want to waste too much time looking for a classroom.

Li Zehan and the other two followed Chen Hui into the classroom and sat down around him.

The middle-aged man on the podium did not react to the arrival of the four people; he simply stared blankly at the blackboard, like a contemplative sculpture.

Chen Hui and his three companions looked at it with some curiosity.

Li Zehan was the first to give up. The messy symbols on the blackboard looked like math, but he wasn't sure. However, he wasn't going to get stuck on it. If he couldn't understand it, he wouldn't look at it!

Soon, Wang Xiao also withdrew his gaze.

Deng Leyan stared intently at the blackboard, as if trying to see a flower bloom on it.

He certainly didn't understand it very well either, but since Chen Hui hadn't looked away, he couldn't look away either!

"Hey!"

After an unknown amount of time, the middle-aged man on the podium let out a soft sigh, threw the chalk in his hand onto the podium, like an autumn leaf finally resigned to its fate, helplessly leaving the branch and drifting to the ground.

Seeing the few extra little ones in the classroom, Yuan Xinyi didn't say much and walked out of the classroom.

He came to Yanbei University to exchange ideas with the teachers.

After a small seminar in Lin'an a few days ago, they came up with a phase compensation method to solve the key problems of his project. Unfortunately, after detailed verification, they found that the solution was nothing but a mirage.

When n≤3, since P(missing)=0, this scheme can produce the correct result.

However, when n=4, the disaster still occurred.

The phase duality operator θ violates the axioms of the triangular category, causing the homological algebra structure to collapse. The key splitting sequence does not exist when n≥4.

He had just tried to salvage the situation, but ultimately realized that when faced with higher-order delocalization phenomena, any attempt to modify the underlying framework through local adjustments rather than reconstructing it is essentially a mirage.

Even the most ingenious formal analogy may conceal abyssal structural flaws.

"Why not try to derive the cyclic space by re-formulating it using the condensed matter ∞-category?"

A childish voice interrupted Yuan Xinyi's thoughts.

He then noticed that, without him noticing, one of the four little ones who had just entered the classroom had stood up.

Was he talking to me?

Yuan Xinyi was unsure, but quickly shook his head.

He didn't recognize Chen Hui. Although he had watched the surveillance footage of Chen Hui's exam a few days ago, the footage was too small, and their attention was not on Chen Hui at all, but on the questions.

Judging from the school uniforms these kids are wearing, they are probably middle school students attending a summer camp at Yanbei University.

How could a middle school student possibly understand what's on the blackboard?

"The key to the condensed matter framework is to replace the topological space with a set of condensed matter, such as here..."

Chen Hui had already come to the podium, picked up the chalk that Yuan Xinyi had thrown away, and started writing and drawing on the blackboard: "The 'infinitely far stitching' of space can be achieved using the ultrafilter limit, which corresponds exactly to the nonlocal phase correlation of the mode space."

hum!
Yuan Xinyi's mind went blank.

"Condensed matter mathematics!"

"It seems like it might actually work!"

His words were like a ray of light illuminating the darkness. With his familiarity with the theory, he immediately understood the key point.

He has no time to think about why this middle school student can understand what he has written and understand condensed matter mathematics.
None of this matters!

Importantly, "number theory situations require mixed feature processing, and Bhatt and Lurie's prism-level cohomology..."

Yuan Xinyi picked up another piece of chalk and wrote a formula next to Chen Hui: "This ring carries both p-adic and de Rham information, so perhaps it can construct a feature-independent deformation space?"

"If we combine this with Connes' toroidal flow."

Chen Hui's mind also sparked with inspiration. The papers he had read a few days ago seemed to flash before his eyes like slides: "Considering the deformation parameter θ as a spectral flux parameter, thermonuclear regularization may absorb divergence terms. Marcoli used this to deal with phase transitions in quantum statistical systems..."

"I understand!"

Yuan Xinyi burst into laughter, “A triple application! Condensed matter ∞-category remodeling of the overall structure of the space, prism cohomology handling of local feature jumps, and non-commutative spectral flow control of the analytical properties of deformation parameters!”

"Let Mncond be the condensed-state limit space under pro-étale coverage. In this way, the derived loop is no longer a simple geometric object, and the fiberization here can preserve the phase difference lost by traditional methods..."

"Define the deformation functor on the prism ring, and Bhatt's Theorem 7.8 ensures smoothness when features are mixed."

"Furthermore, by introducing the hot kernel control of the Dirac operator, when β→0, the ergodic flow on the non-commutative torus will renormalize the divergent integral..."

"Now, the phase factor can be expressed as... condensed matter basis guarantees integral convergence, prism theory handles characteristic jumps, and spectral flow provides a regularization path."

Chen Hui couldn't get a word in edgewise. Yuan Xinyi was writing formulas on the blackboard with chalk, sometimes frowning, sometimes laughing, his expression becoming increasingly manic.

"What are they talking about?"

Below the stage, Li Zehan and his two friends stared wide-eyed at the blackboard, their young minds deeply shaken.

Wang Xiao shook his head, swallowed hard, and realized he couldn't understand either.

But the person on stage was clearly a teacher from Yenching University. Chen Hui was able to exchange mathematical ideas with a teacher from Yenching University, and even made the other party ecstatic, as if he had provided the other party with some incredible inspiration.

Looking at the book "Lie Groups, Lie Algebras and Their Representations" in his hand, Wang Xiao fell into deep thought.

Is the difference between people really that big?

Deng Leyan stared at the podium, his face pale. He felt that his Dao heart, which had just been reunited because of Asai's outstanding performance in the finals, was about to shatter again.

(End of this chapter)