While the researchers of Planck's plasma physics research were conducting investigations in the factory of the Western Superconducting Group, a group of about 30 people from the Qixia Controlled Nuclear Fusion Engineering Base were also selected and sent to the Germanic country.

In the transaction between ASDEX devices and superconducting materials, both parties must fully confirm the qualifications and circumstances of the other party before proceeding to the next step.

However, this time did not take long, and in about half a month, Planck Plasma Physics Research and Xu Chuan communicated again and began to trade.

Xu Chuan didn't go in person about this matter, and Gao Hongming would arrange a special team to negotiate and deal with related matters.

At this point, there is nothing else to do, and Xu Chuan has also focused on the controllable nuclear fusion project in Qixia Mountain.

In addition to the nuclear fusion project, NTU also ushered in the day of the big man's class again, which surprised many students in the school.

The days went by like this, and the time soon came to May.

In three shifts, people rest machinery does not rest, and several times the manpower is used to fill the project, the controllable nuclear fusion project base in Qixia Mountain has completed the construction of the main building, and it is expected that the overall construction will be completed in about a month and a half.

And the ASDEX device that Xu Chuan cares about has also departed from the Germanic country and is being sent across the ocean.

For the transportation of such large-scale precision equipment, the ships that sail and transport will choose a more secure route because of the need to ensure that there will be no mistakes.

In addition, you need to keep an eye on the weather changes when sailing, so the delivery time will be longer, and it will arrive around the beginning of July.

In addition, a large supercomputing center for running plasma turbulence numerical control models is also in full swing.

According to the plan, it will be completed at about the same time as the completion of the base research institute, and it will remain the same as in mid-June, leaving half a month for its acceptance, and then after receiving the ASDEX device, it will start testing at the same time.

On the other side, NTU.

Since the New Year of 20 years, Gu Bing and Amelia, who have returned to school, are staying up late together.

Without him, their graduation thesis seems to have a hopeful breakthrough.

Following such a mentor as Xu Chuan can be said to be a great luck or a great misfortune.

Because from the very beginning, this mentor was quite demanding of them.

It was terrible to use a world-class math problem as a goal to graduate from his hands.

Although algebraic cluster and group mapping tools have reduced the difficulty, for a PhD student, this is still ridiculously demanding.

However, it is precisely because of this high demand that they have gained more knowledge while learning from this mentor.

Although there were many times when the guru may have been busy with his own business, he never had reservations about their teaching.

Whether it's math or physics, or some questions that interest them, as long as they are serious, he can give the answer.

And this learning experience is extremely valuable for both of them.

It's early June.

At the Qixia Mountain Institute of Controlled Nuclear Fusion, Xu Chuan was working on documents in his office.

As the project progressed to completion, he had more to do, with meetings and reports to read every day.

Since the completion of the institute in May, the team that originally rented the office of the Xianlin campus has also moved here, and he is no exception, and most of the work on the project is now handled here.

The black pen in his hand signed his name on a business document, and Xu Chuan was about to open the next document when the mobile phone on the table rang.

I picked up my phone and glanced at it, and it was his student Amelia who called.

Answering the call casually, he clicked on the amplification and put the phone on the table, Xu Chuan continued to flip through the documents on the desktop.

On the other end of the phone, Amelia's voice rang with some excitement and excitement: "Professor, do you have time to come to school now?" ”

Xu Chuan asked casually, "What's wrong?" Can I help you? ”

"We'd like to ask you to look at a paper."

Hearing this, Xu Chuan stopped looking through the documents, looked at the phone, thought for a while, and said with a smile: "Then you wait for me for a while." ”

"No problem!"

Hanging up the phone, Xu Chuan pinched the signature pen in his hand and looked at the white wall opposite for a moment, then put down the pen and got up and left the office.

It didn't take long to rush back to NTU from Qixia Mountain, and in less than twenty minutes, Xu Chuan was standing at the door of his office.

Glancing at the half-hidden door, he stopped, paused for two seconds before pushing open the door and stepping inside.

In the office, Gu Bing, Amelia and Cai Peng were all there, and the three of them, who were originally happily discussing something, quickly became nervous after seeing Xu Chuan's arrival.

Xu Chuan smiled and said, "What about the paper you asked me to read?" ”

Hearing this, Amelia and Gu Bing stood up at the same time.

Xu Chuan smiled and took a stack of manuscript paper from the hands of the two of them, and then synthesized a copy.

If p is a property, and a non-integral function does not have a property p, then a family of holopure functions with a property p in a region is a formal generalization. 》

Seeing the title, Xu Chuan's pupils shrank slightly, and the corners of his mouth also brought a hint of amplitude.

As he expected, two of his students may be graduating.

His eyes fell on the manuscript paper in his hand, Xu Chuan was immersed in it and reviewed it carefully.

A specific family of holopure functions is a theory proposed by the mathematician P. Montel in 1912, which has a wide range of applications in the theory of complex variable functions.

The Bloch conjecture is not a conjecture in the strict sense, it is a problem derived from the regular family of holopure functions and the regular family of metapure functions.

The normal family refers to a family of functions with some convergent properties, defined as: "A family of fully pure functions F in a region D is said to be normal in D, if from each sequence of functions of F fn(z)(n=1,2,...) can pick a subsequence so that it converges consistently to an all-pure function within D or diverges consistently to ∞. ”

Nowadays, the theory of the normal family of holopure functions and the regular family of metapure functions has been developed to the point of perfection, but an important research problem in this theory is to find a new regularity rule.

Mathematicians have done a lot of work on this issue.

For example, corresponding to Leuville's theorem on integer functions is Montel's theorem above about the family of uniformly bounded holopure functions; Perhaps the counterpart of the Picca theorem on integer functions is Montel's theorem above about the family of holopure functions with two exceptions.

These are based on the regular family of holopure functions and the regular family of metapure functions.

However, the scope of these achievements is quite limited, and how to extend the scope to a family of holopure functions with properties p in a region is still a problem that plagues the mathematical community.

And now, Gu Bing and Amelia may have done it.

Minutes and seconds passed.

Xu Chuan stood in the office with the manuscript paper, and beside him, Gu Bing, Amelia and Cai Peng were all waiting quietly.

The tense atmosphere filled the entire room, and the three of them didn't even dare to take a breath for fear of affecting something.

Half an hour passed in the blink of an eye, and the last two pages of manuscript paper came into Xu Chuan's eyes.

Since fn is a metapure function and Fn≠0 in △(Z,δ)={z:|z-z|<δ}, then 1/Fn is pure in △(Z,δ), so 1/Fn is pure in △-(Z,δ/2)={z:|z-z|≤δ/2}, and has max0≤θ≤2π(1/Fn(z+δ/2eiθ)<2/A)."

In this small circle, there is {Fn} that converges consistently at 0, so F is normal at Z, then F is on track in region D!"

"From the above expression, it is not difficult to deduce, Bloch's conjecture is established!"

After quietly flipping through the last two pages of the manuscript, Xu Chuan raised his head with a pleased smile on his face: "It is an excellent proof that the work you have done is quite good, you have expanded the scope of the regular family function, surpassed the boundaries of the predecessors, and made a great result!" ”

Looking at the two students in front of him, he was very relieved that his students had grown up.

From the beginning of '18 to June '20, for two and a half years, they followed themselves to learn mathematics, algebraic cluster and group mapping tools; And then expand on this basis, extend your own ideas, and create your own knowledge.

Now, it's time for them to reap the rewards.

A world-class puzzle is enough to prove their talent and hard work.

Of course, at the same time, he was also very happy to see that the theory of "algebraic cluster and group mapping tools" that he had constructed for Hodge's conjecture showed its tenacious life in the new generation.

It didn't stop at Hodge's conjecture, nor did it limit itself to itself, but passed it on.

A spark can start a prairie fire.

Xu Chuan believes that one day, the theory of "algebraic cluster and group mapping tools" can bloom the most dazzling life in the mathematical community.

PS: The second more asks for a monthly pass!

(End of chapter)