Great Country Academician

While the researchers of the Planck Plasma Physics Research were investigating in the workshop of Western Superconducting Group, a team of about 30 people was selected from the Qixia Controllable Nuclear Fusion Engineering Base and sent to the Germanic country. .

In the transaction between ASDEX devices and superconducting materials, both parties must fully confirm each other's qualifications and conditions before proceeding to the next step.

However, this time will not take long. About half a month later, Planck Plasma Physics Research and Xu Chuan communicated again and started to make a transaction.

Xu Chuan did not go to this matter in person, Gao Hongming will arrange a special team to negotiate and deal with related matters.

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

In addition to the nuclear fusion project, Nanjing University also ushered in the days when the big bosses are in class again, which surprised many students in several colleges.

The days passed day by day, and the time soon came to May.

In the case of three shifts, people resting and machines not resting, and using several times the manpower to fill the project, the controllable nuclear fusion engineering project base in Qixia Mountain has completed the construction of the main building, and it is expected to take another one and a half months. The overall construction can be completed.

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

For the transportation of such large precision equipment, because of the need to ensure that there will be no mistakes, the ships sailing and transporting will choose a safer route.

And you need to keep an eye on weather changes when sailing, so the delivery time will be longer, and it will arrive in early July.

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

According to the plan, its completion time is about the same as that of the base research institute, and it will remain in the middle of June. Just in time, half a month is left for its acceptance, and after receiving the ASDEX device, the test will be started simultaneously.

On the other hand, Nantah.

After 20 years of New Years, Gu Bing and Amelia, who are back at school, are staying up late together.

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

Following a mentor like Xu Chuan can be said to be a great fortune, or a great misfortune.

Because from the very beginning, this mentor had quite high demands on them.

To use a world-class math problem as a goal requirement for graduating from him is horrific.

Although there are algebraic varieties and group mapping tools to reduce the difficulty, for a doctoral student, this requirement is still ridiculously high.

However, it is precisely because of this high requirement that they have gained more knowledge while studying with this tutor.

Although there were times when the mentor might have been busy with his own affairs, he never held back from what they taught.

Whether it is mathematics or physics, or some questions they are interested in, as long as it is serious, he can give the answer.

And this learning experience is extremely precious to both of them.

Fast forward to the beginning of June.

In Qixia Mountain Controlled Nuclear Fusion Research Institute, Xu Chuan was processing documents in his office.

With the gradual completion of the project, he has more things to do, and there are meetings and reports to be read every day.

Since the completion of the research institute in May, the team that originally leased the Xianlin campus to work here has collectively moved here, and he is no exception. Most of the work on the project is now handled here.

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

He picked up the phone and glanced at it. It was his student Amelia who called.

He answered the call casually, clicked on the loudspeaker and put the phone on the table. Xu Chuan continued to flip through the files on the table.

On the other end of the phone, Amelia rang with some joy and excitement: "Professor, are you free to come to school now?"

Xu Chuan asked casually, "What's the matter? Is there anything wrong?"

"We would like to invite you to read a paper."

Hearing this, Xu Chuan stopped looking through the documents, looked at the phone, thought for a while and then smiled: "Then wait for me for a while."

"no problem!"

After hanging up the phone, Xu Chuan held the signature pen in his hand and stared blankly at the white wall opposite for a while, then put down the pen, got up and left the office.

It didn't take long to rush back to Nanjing University from Qixia Mountain. In less than twenty minutes, Xu Chuan stood at the door of his office.

Glancing at the half-open door, he stopped in his tracks, and after a pause of two seconds, opened the door and walked in.

In the office, three students, Gu Bing, Amelia, and Cai Peng, were all there, and they were discussing happily what the three of them 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 two of them, and then combined them into one.

《If p is a property, and non-constant integer functions do not have property p, then the family of holomorphic functions with property p in a region is a normal extension proof. "

Seeing the title, Xu Chuan's pupils shrank slightly, and the corners of his mouth curled up a bit.

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 began to review it carefully.

A specific family of holomorphic functions is a theory proposed by the mathematician P. Montel in 1912, which has been widely used in the theory of complex variable functions.

Strictly speaking, Bloch's conjecture is not a conjecture. It is a problem derived from the normal family of holomorphic functions and the normal family of meromorphic functions.

The normal family refers to a family of functions with certain convergence properties, defined as: "A family of holomorphic functions F in a region D is called normal in D, if each function sequence fn(z)( n=1, 2,...) can select a subsequence that makes it converge to a holomorphic function uniformly or diverge uniformly to ∞ inside D."

Now the theory of normal families of holomorphic functions and normal families of meromorphic functions has been developed to a very perfect state, but an important research problem in this theory is to seek new regularity rules.

Mathematicians have actually done a lot of work on this issue.

For example, corresponding to Liouville's theorem on whole functions is above Montel's theorem on uniformly bounded holomorphic function families; or corresponding to Picard's theorem on whole functions is above Montel's A regular theorem for the family of holomorphic functions with exceptional values.

These are based on the normal family of holomorphic functions and the normal family of meromorphic functions.

However, the scope of these achievements is quite limited. How to extend the scope to a family of holomorphic functions with property p in a region is still a problem that still plagues the mathematical community.

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

Time passed by every minute and every second.

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

A 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.

".Because fn is a meromorphic function and Fn≠0 in △(Z, δ)={z:|z-z|\u003cδ}, then 1/Fn is holomorphic in △(Z, δ), so 1/Fn Holomorphic in △﹣(Z, δ/2)={z: |z-z|≤δ/2}, and have max0≤θ≤2π (1/Fn(z+δ/2eiθ)\u003c2/A). "

".In this small circle, there is {Fn} internally closed and uniformly converges to 0, so F is normal at Z, then F is normal at area D!"

"It is not difficult to deduce from the above expression that Bloch's conjecture is established!"

After quietly flipping through the last two pages of the manuscript, Xu Chuan raised his head with a gratified smile on his face: "It is an excellent proof that the work you have done is excellent. You have expanded the scope of the normal family function, surpassing the predecessors. Boundaries, 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 2018 to June 20, in two and a half years, they followed themselves to learn mathematics, learning algebraic clusters and group mapping tools; and then expanded on this basis, extended their own ideas, and created their own knowledge.

Now is the time for them to reap the fruits.

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

Of course, at the same time, he is also very happy. He is very happy to see that the "algebraic variety and group mapping tool" theory he constructed for Hodge's conjecture has shown its tenacious life in the new generation.

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

A single spark can start a prairie fire.

Xu Chuan believes that one day, the theory of "algebraic varieties and group mapping tools" will bloom the most dazzling life in the mathematics world.

PS: Ask for a monthly pass for the second watch!