A genius? I just love studying.

Chapter 172 Analysis of Chaos Using Topological Rigid Taming
Outside Yanbei University,
Su Bangyuan, second-floor private room,

Just as Tian Yang, Chen Hui, and the other two sat down in the private room, Zhang Jiping walked in with a smile. "I hope Brother Tian won't mind that I came uninvited."

"What have I done wrong?"

Tian Yang snorted coldly, "You are the chairman of the review committee. You attended the candidates' drinking party right after the defense. You didn't avoid suspicion. What do I have to blame you for?"

"I, Zhang Jiping, have always been upright and honest. What is there for me to avoid?"

Zhang Jiping chuckled and unceremoniously found a seat, saying, "It's not easy for you, Lao Tian, ​​to get a meal from me today. You're not going to kick me out."

"Hurry up and order. Are we going to wait for Old Yang to arrive before ordering? That would be so impolite. I'm starving."

It's clear that the two have a good relationship. If Tian Yang hadn't told them, finding the private room so accurately wouldn't have been so easy.

"What, hasn't studying group theory satisfied you enough?"

Tian Yang remained unmoved. "I heard you've recently come up with some new things combining topology and group theory?"

Professor Yang hasn't arrived yet. As a professor, it's perfectly normal to discuss some academic issues as an appetizer.

Zhang Jiping is a leading figure in group theory research in China and can be considered a founder in the fields of finite group representation theory and modular representation theory.

Using the classification theorem of finite simple groups as a tool, he systematically solved the Brauer series of problems and extended the results to the field of high-dimensional Galois representations, demonstrating a complete chain from basic theory to application, and becoming a key support for automorphic lifting theory.

"We have indeed discovered something new!"

Zhang Jiping smiled proudly, "We discovered that by establishing a connection between braid groups and homotopy groups, we can provide a combinatorial mathematical perspective for characterizing homotopy groups. For example, the close relationship between Brunnian braid groups and spherical homotopy groups can open up new paths for calculating the structure of high-dimensional homotopy groups..."

When talking about his research findings, Zhang Jiping began to speak at length. He had nothing to hide from Tian Yang.

He was confident that if he could overcome a few more key challenges, this achievement would become another top-four paper, which would be a remarkable achievement in the Chinese mathematics community.

"Bianqun?"

Chen Hui's heart skipped a beat.

Braid groups are an important research object in algebraic topology and group theory. They describe the abstract symmetry of multiple braids woven in three-dimensional space. Their core feature is topological noncommutativity, and different braiding orders may lead to different group elements.

Therefore, is it possible to use dialectical groups to characterize complex spatial transformations?

Thanks to his diligent study these past few days, the basic concepts and applications of fractal groups flashed through Chen Hui's mind at lightning speed, and slowly, they combined with the dynamic fractal network in Chen Hui's mind!
I understand the concept of freedom of regulation!

A flash of lightning, and Chen Hui suddenly found himself before the glimmer of inspiration hidden in the darkness of his mind.

Solving a problem is often not a gradual process, but rather a sudden moment of enlightenment.

Chen Hui finally saw the spiritual light clearly!

Debate groups are that crucial key!
By utilizing the algebraic structure of braid groups, the degrees of freedom of the gauge field are encoded as the intersection and entanglement of "fibers". The generators of the braid groups correspond to the local symmetry of the gauge transformation, ensuring that each step of the braiding automatically satisfies the physical conservation laws, such as charge conservation and momentum conservation.

Chen Hui dipped his hand into the teacup, soaking his finger in tea, and then moved it across the dining table.
Aμ(x)→U(x)Aμ(x)U1(x)+U(x)μU1(x)
Zhang Jiping, who had been talking loudly, gradually lowered his voice. Everyone looked at Chen Hui, who was standing to the side. Zhang Jiping immediately shut his mouth. They could all tell that something was wrong with Chen Hui's current state, and they had all been in this state before.

This line of formula?

This formula!

Zhang Jiping's eyes grew brighter as he looked at the equations Chen Hui had written on the dining table with tea. He was an expert in deductive groups, and combined with the content of Chen Hui's presentation at the defense that afternoon, everything suddenly became clear!
By using the commutation operation of the group, redundant degrees of freedom are "woven" into the topology, leaving only the physically observable finite degrees of freedom!
He succeeded!
A storm raged within Zhang Jiping's heart.

At this moment, the door to the private room was pushed open again, and a young woman helped Mr. Yang into the room.

Tian Yang and the others immediately stood up and greeted him, but Yang Zhenning raised his hand, signaling them to be quiet. His cloudy eyes also fell on the line of equations on the dining table.

This time, a hint of surprise finally flashed in his eyes.

Unexpectedly, just a few hours later, this little guy solved the problem he had raised himself that afternoon, taking a solid step toward proving the existence of the Yang-Mills equation.

By utilizing topology and group theory, we can perfectly transform infinite-dimensional problems into finite-dimensional problems, and transform the solution of infinite-dimensional partial differential equations into the braiding problem of finite-dimensional topological spaces. Furthermore, by utilizing braid group operations with embedded gauge symmetry, we can avoid manually eliminating non-physical understandings.

perfect!

After reading the equation, only these two words came to mind for everyone in the private room.

Yuan Xinyi was momentarily stunned. He had originally planned to wait until all the details of his thesis were finalized before properly mentoring his exceptionally talented student. Unexpectedly, in the blink of an eye, the little guy was already catching up with him at a rapid pace and was about to catch up with him.

Does he still have anything to teach this little guy?
Your math level has improved from 3 (41%) to 47%.

Your physics rating has increased from level 3 (33%) to 38%.

Chen Hui was constantly seeing pop-up comments, and it wasn't until then that he noticed them.

Another epiphany!
Even Chen Hui couldn't help but show his delight.

It wasn't just an improvement in his proficiency, but also because he actually found a solution to the existence proof of the Yang-Mills equation!

"Congratulations!"

Seeing that Chen Hui had recovered from his contemplative state, Zhang Jiping finally spoke.

"I should be thanking Teacher Zhang. If it weren't for Teacher Zhang, I'm afraid I would have been stuck here for who knows how long."

Chen Hui expressed his sincere gratitude, saying that although his enlightenment was due to his accumulated knowledge and experience, the opportunity that triggered it was equally important.

Zhang Jiping waved his hand repeatedly, "Your sudden enlightenment is entirely due to your in-depth thinking about this issue. I was just saying something casually, so there's no need for thanks."

"Alright, alright, you don't need to be so polite."

Yang Zhenning sat down in the chair, smiled, and said, then looked at Chen Hui, "Congratulations!"

Have you decided what to name this method?

Chen Hui did more than just simplify the Yang-Mills equation; he created a new method, or rather, a new tool.

They couldn't help but think of another equally famous mathematician, Schultz!
Back then, with his graduation thesis, he proposed a complete space theory, created a new tool, unified number theory and geometry, and made p-adjacent numbers one of the core tools of 21st-century mathematics by extending p-adjacent numbers. He revealed the unique potential of p-adjacent numbers in connecting discrete and continuous mathematical objects, reshaped the boundaries of modern mathematics, and earned Schultz himself the crown jewel of mathematics, the Fields Medal!
Chen Hui now seems to be following in Schultz's footsteps; both are equally young and equally gifted.

If Chen Hui can truly prove the existence of the Yang-Mills equation, he will surely win the Fields Medal. Such a life in China would be a blessing for the nation!

"Let's call it Standard Topology Weaving!" Chen Hui already had a name in mind.

"What a magnificent technique of topological weaving! It uses the rigidity of topology to tame the chaos of analysis, without attempting to solve the equations directly. Instead, it weaves the solutions of the equations into a topological work of art in spacetime. The proof of existence is no longer a cold theorem, but a geometric epic of mathematics and physics dancing together!"

"Good good!"

Yang Zhenning clapped his hands and laughed, saying "good" three times in a row.

The young woman beside him also smiled happily; she hadn't seen such a happy smile on Mr. Yang's face in a long time.

The group discussed for a long time until everyone was starving. Only then did Tian Yang remember to call the waiter and start ordering.

Chen Hui was not as optimistic as his teachers. Although he had successfully simplified the Yang-Mills equation from infinite to finite dimensions, this was only the first step in proving the existence of the Yang-Mills equation. Solving it was still not an easy task.

But at least he took the first step!
……

Jiangcheng University, Theoretical Mathematics Class 1
"We still have some money left from last year's class fund, so we're planning to put on our own New Year's Eve party. Let's brainstorm and come up with some ideas..."

With the semester already halfway through and New Year's Day just around the corner, Yin Hao called a class meeting with the students of Class 1.

The main purpose is to convey the homeroom teacher's instructions to take the upcoming exam week seriously.

Of course, after more than a decade of hard study, we are finally liberated, so we must have a blast at the New Year's Eve party. As the class monitor, I have a great responsibility!

"Class monitor, Chen Shen hasn't come to class meetings? I haven't seen him in a long time, what has he been up to lately?"

After the class meeting ended, Zeng Yiyuan approached Yin Hao and asked curiously.

Today, Chen Hui is undoubtedly a prominent figure in the entire School of Mathematics at Jiangcheng University, and his every move naturally attracts a lot of attention.

Upon hearing this question, many people perked up their ears, and even Yin Piao, who was preparing to go to the teaching and research office for study, slowed down her pace.

Yin Hao waved his hand, "How would I know? I haven't seen Master Chen in a long time either."

"Let's all go, let's stop asking questions."

Everyone was a little disappointed, thinking there was some big news to come.

"Fuck me!"

Just then, a student suddenly exclaimed.

"ASML and China Microelectronics Group officially signed a strategic cooperation agreement in Shanghai. The two parties will conduct in-depth cooperation in advanced lithography technology research and development, supply chain collaboration, and talent training. This cooperation marks an important step forward in the collaboration between China Microelectronics and China Microelectronics in the core technology field of semiconductors, and is expected to inject new vitality into the global semiconductor industry chain..."

Before his classmates could question him, the student read aloud the news he had seen, then looked up at them with his mouth agape, his eyes filled with confusion.

The students had already gathered around him while he was reading the news.

"what?"

Not only him, everyone was full of questions.

The difficulties China has encountered in the semiconductor industry in recent years have been widely discussed online, with people digging up every detail they could find. Of course, they know the reasons behind this predicament.

I also understand what this news represents.

That's precisely why they were so surprised, because it was something that simply couldn't have happened.

If this news is true, then what about the things that happened in the previous years?
It's like two families with a blood feud, who have been fighting to the death for decades, suddenly announcing a reconciliation. Not only that, they've reached a cooperation agreement to become one family.

It would be strange if there were no ghosts here!

No one believed the news was true, but the news was published by China News, which is practically a statement representing the official position of the Chinese government. Such a media outlet would naturally not publish fake news.

So this must be true!
"I don't know how much we paid this time."

Everyone stared at this news for a long time, searching through all the information they could find, and finally one student sighed.

They knew that this news, presented to everyone in just a few simple sentences, must have been filled with blood, sweat, and tears behind the scenes.

Back in 08, during the financial crisis, it seemed to have little to do with Andy Lau, but he still spent trillions of RMB to save the country. Perhaps many people couldn't understand why Andy Lau would do something so self-defeating.

Ultimately, there is only one reason: if you fall behind, you will be bullied.

Furthermore, in the trade war that began in 16, China also paid a huge price.

For example, the promised huge high-priced crude oil orders.

Of course, no one expected that the Goose and the Second Mao would fight, causing crude oil prices to soar. What was originally a loss-making business turned into a profit when it was sold to Europe.

Furthermore, due to the mask incident, the extremely harsh agreement signed back then ultimately had a negligible impact on Andy Lau, giving him a precious few years to breathe.

It can only be said that it is a matter of timing and fate. The fate of a nation is such a mysterious thing. The sleeping dragon that has been dormant for hundreds of years is about to take flight.

The rice crisis has intensified recently, and they've approached Andy Lau again, wanting to extort money like they did in 08, but this time it's not four, it's ten.

Unexpectedly, Andy Lau has become quite successful. After several years of development, he even dares to play with ginkgo leaves in broad daylight. At the same time, they also saw through Da Mi's fickle nature and directly rejected Da Mi's extortion.

When the students heard the news, although they could foresee that they would probably have to go through a difficult time, they were all overjoyed.

I never expected to receive this news.

Did Andy Lau ultimately agree to Rice's unreasonable demands in exchange for the EUV he so desperately wanted?

Obtaining EUV is certainly a joyous occasion, but considering the potential costs involved, no one can be truly happy.

It seems like everyone has taken a step back, but Andy Lau's step back was so big that it almost hurt him!

It's no wonder they considered this news from the worst-case scenario. They simply couldn't find any reason to prompt ASML and Andy Lau to cooperate so extensively, since no one would voluntarily bail out an opponent who is in a huge disadvantage.

"Eh??"

"Someone posted a partial list of cooperation details below. It seems that ASML will provide China with some technical guidance on EUV lithography machines, while China will provide ASML with a new thermoelectric material preparation technology. The two parties will collaborate to develop new chips with stronger performance and lower power consumption..."

Perhaps noticing everyone's questions, Huaxia News pinned a comment of its own to the top of this already wildly popular news article!
(End of this chapter)