Professor Friedman's mood has not been very beautiful lately.

Even though it's just over Christmas.

Because of the rubber ball experiment project he was in charge of, he was under pressure from the SLAC side.

A long time of investment, but no corresponding results.

Both the U.S. Department of Energy and Stanford University are considering the need for this topic.

After all, today's SLAC is not the same as it used to be.

In addition, SLAC researchers had already processed all the experimental data from the last rubber ball experiment before Christmas.

At the moment, we are waiting for the next experimental plan.

On the one hand, there is pressure from the outside, and on the other hand, there is a tight schedule from within.

Friedman had to carefully weigh the connections between the two.

And make sure that the next experiment, even if you can't really find the rubber ball, you have to be able to come out with something.

Otherwise, his funding for this project would be a bit hanging.

But Chen Zhou and Kroos, whom he is optimistic about, have never had even the slightest news.

This made him feel a headache even more.

It's like someone who expects to make a difference, but never brings what they want.

But the original step-by-step action never stopped, always moving forward.

And the people who supervised this action urged them to hurry ahead.

This kind of waiting is the hardest and most frightening.

Moreover, Friedman can occasionally hear Cross complaining.

Eventually, Friedman set himself a deadline – New Year's Day.

After New Year's Day, he flies to SLAC.

Depending on the data processing of the researchers, the next experiment will be scheduled.

This is also the deadline he left for Chen Zhou.

As for why he hasn't looked for Chen Zhou.

It is to give Chen Zhou an absolutely stable research environment.

He believed that smart people never need to be supervised.

On New Year's Day, Friedman spent the first day of 2017 as usual.

It's just that no one knows what he's thinking today.

It wasn't until after dinner that Friedman returned to his study.

The emotions that have been suppressed finally turned into a heavy sigh: "Alas......"

After sitting at his desk for a while, Friedman slowly pulled out his phone, intending to ask McIson to book a plane ticket for him.

At this moment, a message notification flashed out on the computer on his desk.

Friedman subconsciously stopped his hand about to make a call, and looked at the message notification that flashed on the computer very seriously.

This is an email alert and you can't see the sender's name.

Friedman thought about it, but put the phone aside first, stretched out his hand to hold the mouse, and slowly swiped.

The cursor of the mouse is on this email alert.

Friedman clicked the left mouse button slightly.

Friedman's mailbox was always on board.

The page on the computer redirects to Friedman's mailbox inbox.

Friedman looked at it, and after a slight stunned moment, a smile instantly appeared on his face.

The hand that used to slide the mouse slowly seemed to have become younger all of a sudden.

Mouse swipe, tap the left button, and enter the email sent by Chen Zhou.

The subject of the email was - Research on the subject of the rubber ball experiment.

The content of the email is: Professor Friedman, I have completed the research on the topic of the rubber ball experiment, and the attached is the first draft of the paper, please help me review it.

After reading this sentence, Friedman only felt that his previous worries had all disappeared.

The smile on his face also became more intense.

Without the slightest hesitation, Friedman downloaded the file that was exactly the same, but was complained about by Cross as such a small file.

Once the document was downloaded, Professor Friedman began to review it with great care.

He hopes that Chen Zhou can meet his expectations, instead of being like SLAC researchers, who will only follow step by step.

It's not that it's bad to follow the step-by-step, it's just that you can't find the rubber ball if you follow the step-by-step.

Otherwise, Friedman wouldn't have been under so much pressure.

Although it sounds like pinning hopes on a "newcomer" in the physics field who is "uninteresting" and even Professor Cross, a veteran employee of SLAC, dares to hang aside, it is an extremely unreliable thing.

But that's what Friedman did.

And now I am reaping my own sense of anticipation.

Friedman kept looking at the first draft of Chen Zhou's dissertation.

In the notebook next to me, several pages of verification formulas also appeared.

Friedman immersed himself in the first draft of this paper on his computer, with a mindset of enjoyment and research.

So much so that he didn't even hear his wife shouting for him to rest early.

This also surprised Friedman's wife, who is also a physics professor.

Because Friedman hasn't stayed up late for many years since he got older.

The daily routine is very regular.

Even if he had any questions and wanted to discuss them with the husband of the Nobel laureate in physics, he would say that he would discuss it early tomorrow morning, for fear of delaying his rest.

But today, what's going on?

The wife silently walked behind Friedman, and she wondered what Friedman was looking at, and he was so fascinated by it.

Even when he walked behind him, he didn't even realize it.

"It's ...... Glue ball?" The wife frowned slightly, very puzzled.

The topic of the rubber ball experiment is a topic of particle physics that Friedman has been working on for a long time.

But there was never a time like this?

At the same time, his wife stood behind Friedman and looked at the first draft of the paper sent by Chen Zhou with him.

It was midnight.

The notebook next to Friedman had already been filled in with more by him.

And his wife also moved a stool and came over to help him sort out the contents of this paper.

Both of them were shocked by the results of this paper.

Although Friedman's wife is not a big fan of particle physics.

But from the seriousness of the husband, and the formulas and calculations stacked in the notebook.

She already knew the importance of this paper.

To her surprise, Friedman told her that the paper was the work of a graduate student he had just led.

She didn't know what kind of graduate student would be able to write such a thesis?

"It not only combines the advantages of particle detectors, but also improves the methods and methods of particle detection......

"If he followed this pattern and searched for other unknown particles, or the new physics that physicists had in mind, would he have found it?"

Friedman's wife's mind came up with these two shocking words for no reason.

At one o'clock in the evening, Friedman turned his head slightly, and asked his wife to go to bed first, and he would come immediately.

Because he found that even if he stayed up late, he would not be able to complete the verification, or rather review, of this paper.

It will take him at least two days to complete the preliminary review of the paper.

So, go for his SLAC.

After verifying the content of this paper, the next experimental plan is not to find something.

It was bound to be a historic moment for the discovery of the rubber ball!

Friedman also felt a little lucky, glad that he chose Chen Zhou, and also glad that he met Chen Zhou.

Same as Friedman, but different from Cross.

I thought it was Chen Zhou who wanted to help him, but he didn't expect it to become a review of Chen Zhou's research results.

However, the research results of Chen Zhou's paper are so shocking.

If you use this paper as a guide, you will finally find the glue ball.

Then Chen Zhou's paper is a quasi-Nobel Prize-level paper!

Of course, even if you don't look at this glorious honor that only exists in theory, just talk about the paper in front of you.

It also made Cross very helpless and very disappointed.

originally thought that Friedman was binding Chen Zhou to himself to give himself a chance to show his strengths.

But I didn't expect that I didn't do anything except for occasional email exchanges, and the other party would get the research results out by himself.

This also shows that Chen Zhou doesn't need himself at all......

Now that the research papers are out, I have missed the research work on the SLAC side......

Cross's heart was quite mixed.

However, he also knew that it was useless for him to think more.

Now that the facts are in front of him, he can only grab the last tail and help Chen Zhou correct the possible problems in the paper.

At the same time, every effort is made to verify the innovation of the theoretical content of the rubber ball experiment involved in this paper, as well as the new methods and technologies in experimental detection.

Unlike Friedman, Kross, immersed in the first draft of Chen Zhou's dissertation, began the ascetic mode that a scholar must have.

Stayed up all night.

Finally the day after New Year's Day.

That is, January 3rd.

He completed the review of Chen Zhou's paper.

The possible problems were also marked and their own views were attached.

Then, I opened the mailbox and sent the entire package back to Chen Zhou.

Although the paper file sent by Chen Zhou is not very big.

But the compressed file package that Cross sent back was not small at all.

He listed in detail the literature he consulted, his own notes, his own understanding, what he didn't understand, and so on.

Of course, he didn't plan to communicate with Chen Zhou just like this.

He planned to take a good rest, so he immediately left for the Massachusetts Institute of Technology to find Chen Zhou.

After doing this, Cross finally collapsed on the bed and fell asleep.

The body of a middle-aged person is still somewhat unbearable to stay up late.

In addition to Friedman and Cross carefully studying Chen's paper, the first draft of Chen's paper published on the preprint website e-Print arXiv also attracted the curiosity of many people.

It's just that, unlike Friedman and Cross, most physicists don't pay much attention to Chen Zhou's paper.

Only a very small number of big bulls in the physics field carefully read Chen Zhou's paper because of Chen Zhou and Friedman.

However, because there is a lot of content missing in the preprint, many theories and techniques seem a bit confusing.

Therefore, Chen Zhou's paper is more regarded as a good "wish" for "newcomers" in the physics field.

Therefore, even Chen Zhou, who is a mathematical genius, has not made a big splash in the physics community through a preprint of a paper.

Chen Zhou didn't care about this.

Even after uploading the preprint, he didn't pay attention to it anymore.

At this time, he was immersed in the world of mathematics.

While Friedman and Cross were carefully studying Chen Zhou's thesis, Chen Zhou was also seriously studying the difficult problems of mathematics.

Those ideas that have been put on hold for so many days can finally be done boldly after the research results of the rubber ball experiment are released.

After the start of another liver explosion, Chen Zhou was surprised to find that the topic of "linear representation of the Artin L function of the Galois group" seemed to be getting more and more interesting.

In fact, this topic was put forward by the elder Professor Atin when he was studying the Galois theory.

As for the study of Galois theory, probably no one is more "persistent" than the old Professor Atting.

As early as 1923, Professor Atin introduced the group representation method in the study of arbitrary Galois expansion L/K in the number field, and introduced the Galois expansion L/K on the L function of representing ρ.

And the old professor proved a series of analytical properties of L(S,ρ).

But he could not discover the Dirichlet feature and the high-dimensional simulation of the Dirichlet L-function.

Nor is it how the high-dimensional representation of G can be represented by the properties of K itself.

Interestingly, at the same time, in 1927, Professor Haken, who was working at the same school as the elder Professor Artin, studied the modular L-function.

In 1951, Wey used the class domain theory to construct a new group, that is, the Wey group.

A new type of L-function is obtained.

Professor Atting's non-abelian L-function and Haken's L-function on modular forms are special cases.

As Wayy put it, "The marriage of Ateen and Haken was realized." ”

However, Professor Haken apparently did not expect that the elder Professor Atin would publish a book called "The Theory of Galois", which comprehensively dealt with the theory of Galois.

Moreover, Chen Zhou has been left with unsolved problems so far.

After exploring the linear representation of the Atin L function and the Atin L function of the Galois group, Chen Zhou found that after exploring the problems of the Atin L function of the Galois group, and so on.

Back to what Professor Langlands had said.

That is, there are three main parts to studying an L function.

They are the analytic extension, the distribution of the zero point, and the value of the special point.

It's just that there is a lot of content involved.

Like the general self-defending L-function, its analytic extension is relatively easy to obtain.

But for an arithmetic L-function like Artin's L-function, this part is not so easy.

Just like the part of the Wey L function, it is the Taniyama-Shimura conjecture.

As for the all-pure analytic extension of the Atin L-function, it is necessary to go around to the Atin conjecture.

It has become an important problem in algebraic number theory.

This is not the result that Chen Zhou wants.

However, Chen Zhou cleverly took advantage of this and perfected the method of distribution deconstruction.

It can be said that it was a bonus.

Moreover, the difficult problem of "linear representation of the Artin L function of the Galois group" has gradually become clear in front of Chen Zhou.

“L(S，ρ)=p∏det......”

This feeling of clearing the clouds and gradually clearing up is slowly playing out in Chen Zhou's mind and pen.

Of course, Chen Zhou, who has restarted the research on the liver explosion, has also been waiting for Friedman and Cross's review opinions.

It would be great if I could complete this math project before returning to China for the Chinese New Year.

If it can't be completed, Chen Zhou doesn't force it.

Finally solved the problem of the rubber ball experiment, didn't you?

It's just that Chen Zhou would never have thought that the deadline he set for himself would actually hit the date that Friedman also set for himself.

If he knew, he would probably have a different feeling in his heart.

At noon on January 3, Chen Zhou slowly put down his pen and was about to solve the takeaway brought back by Yang Yiyi, when he saw the email message prompted on the computer.

That's right, after Chen Zhou once again started the research mode of retreat and liver explosion, Yang Yiyi also started the rhythm of bringing takeout again.

While eating, Chen Zhou, who clicked on the email, thought that it might be Cross or an email from Friedman.

Unexpectedly, the email sent by Cross would contain so much content.

Especially after downloading, seeing the various lists here, Chen Zhou was a little helpless.

Is this his own review, or is he reviewing his own manuscript?

When he saw that in the body of the email, Cross planned to come to MIT tomorrow to find him, Chen Zhou was even more crying and laughing.

Dare to love this to block yourself and solve the problem face to face?

However, if you want to think about it, you will complain about it.

For some very practical suggestions, Chen Zhou is still very cautious.

After all, Professor Cross has many years of research experience, which he lacks.

But Chen Zhou just read it seriously, and formed a rough revision in his mind.

But he didn't actually put pen to paper to revise the paper that had been sorted out by himself.

He is still waiting for Friedman's review.

After the summary, he will combine the opinions of the two and make specific modifications.

Besides, isn't Cross planning to come over?

Chen Zhou believes that Friedman should take advantage of this opportunity to find him and Cross together.

After thinking about it, Chen Zhou simply replied to Cross's email, and quickly solved the lunch that was already a little cold.

Immediately, he once again plunged into the world of the Galois group and the Atin L-function.

About next week, he will ask for leave with his two mentors to start his winter vacation trip and return to China for the Spring Festival.

Before that, he had a maximum of a week left.

If you remove the time that may be delayed by Cross, then there is really not much time left for this problem before the Spring Festival.

Time is like this, in Chen Zhou's research on the explosion of liver, slowly flowing away from the tip of his pen.

Three days is just a blink of an eye.

Chen Zhou, who was immersed in the world of mathematics, was completely unaware that Cross, who said that he would come to him the next day, had not come until now.

And he finally put the idea that gradually became clear in these three days into practice.

3 p.m. on Jan. 6.

Chen Zhou, who slowly put down the pen, looked at the content on the scratch paper with satisfaction.

“...... Consider the automorphism ...... of the Galois group"

“...... Q/F in Gal(Q/F) is a Galois expansion ......"

"then, L(S,ρ)=n=1→∞∑λρ(n)/n^s......"

“...... Therefore, we can get the linear representation of the Atin L function of the Galois group as L(S,ρ)=......"

Chen Zhou didn't expect that he didn't have a problem that he was eager to solve.

In such a short period of time, it was solved by himself.

This also means that the sub-project that Professor Atin gave himself, one of the two major problems left by the old Professor Atin to the mathematical community, has been solved by himself!

After the rubber ball experiment, I will be able to complete my second paper soon!

What Chen Zhou didn't expect was that although Cross didn't come over on the 4th.

But yesterday, I was at MIT.

The reason why I didn't come to him was because I was called by Friedman.