Scholar’s Advanced Technological System

November 25.

The heavy rains in North Rhine-Westphalia can't help but worry about whether the water of the Rhine will flow over the embankment.

Located in the corner of the right bank of the Rhine, an understated research institute is now suffering from such problems.

The gray and black stone bricks are covered with mottled ages, and under the baptism of wind and rain, they send a deep sorrow, just like an old man leaning on a vine stand, breathing for a long time.

Of course, compared to the things that really deserve it, this bad weather is insignificant.

As a glorious witness to the Göttingen School in the past and a successor to the Bulbachi School, it has thought about this world for nearly two hundred years, and will continue to think without accident.

But this is probably the first time.

Because of a certain problem, it bothers it ...

The door opened, and an old man stepped on the water-soaked steps and walked in from outside the institute.

Shake off the drops of rain on the raincoat and hand it to the assistant who came here together. Professor Faltins, who just came here from home, rubbed his hands while rubbing the white mist, while facing the dust. Go in the direction of the meeting room.

It has been more than a month since returning from China to Europe.

In this more than a month, many things happened in the mathematical world.

Beginning with the paper on the proof of beilinson-bloch conjecture published in "Future Mathematics", the research on tive and the theory of cohomology in algebraic geometry was pushed directly from shallows near the coast to deep waters.

A large number of research results have emerged in this field, which has led people to increasingly believe that Grothendieck's predictions of algebraic geometry are close at hand, and that the probability is correct.

If there aren't many accidents, perhaps most people will hope to see that day in their lifetime.

The day that algebra and geometry reached a certain unity!

"I haven't seen you for a long time, Professor Faltins." Looking at Faltins who came in from outside the conference room, an old man who looked a little bit blessed, with a smile on his face, enthusiastically extended his right hand to meet him.

"Speaking from the last time I met you in the Blue Room in Stockholm, it has been six years now."

"Don't come here, Sanak, you're finally here," shaking his hand slightly, Faltins glanced at his belly like a ball tightened by a rope, and he couldn't help pulling his lips. For a moment, "It seems your life has been good in recent years."

"Just make up," Sanak laughed heartily, "your humor is still not so flattering."

Professor Sanak, the former editor-in-chief of the Annals of Mathematics, and the winner of the 2014 Wolf Prize in Mathematics. Scholars who can receive this award with a lifetime achievement may not be the most academically advanced, but it must be The world-renowned one.

As for why the former editor-in-chief of Mathematics appeared here ...

The reason is naturally the same as Deligne sitting at the conference table silently flipping the minutes of the meeting, they are sitting here for the same reason and for the same purpose.

This majestic society in mathematics has brought together top scholars from the entire Bulbarki school.

Including his Sanak, including Grothendieck's most proud disciple, Deligne, as well as Faltins, the first person to be known as the Pope of Mathematics, and Faltins recognized as the most promising surpassing him Young scholar Schultz ...

So far, this meeting has been going on for three full days.

"Now that everyone is here, let's go straight to today's theme," he said, sitting tremblingly before the conference table, and Faltins looked at the heavy rain pouring down the window and said slowly, "It's going to be winter in a few more days, and sitting together like this is really uncomfortable."

"I agree with you," and finally after reading the minutes of the meeting, Professor Deligne pushed the reading glasses on the bridge of his nose and said with a steady voice, "I can't stand the point of Europe most, and it will be rainy at this time every year , My coat is dry all day. "

Faltins' proposal was unanimously approved by more than a dozen participants.

The seminar on the theme of the Grand Unification Theory soon opened.

The first speaker was Schultz, who reported on his research on the morphism hom (hx, hy) of smooth projective clusters on k over the past month, and determined it to be a non-Abelian category.

Once this view was published, it immediately attracted the attention of all participants.

It is well known that the Abelian category is the basic framework of homology algebra. If the morphism of the smooth projective cluster on k is a non-Abelian category, it will undoubtedly deny that they had guessed the most likely way to solve the grand unification theory—that is, by Methods of homology groups and algebraic topological theory.

Although this result is somewhat frustrating, it can prove that an idea is not feasible, and it still saves you a lot of valuable time.

At least for now they don't have to assume the various possibilities of hom (hx, hy) and discuss an uncertain proposition with uncertain probability.

The meeting lasted two full hours.

Basically, everyone put their research results for a month on the conference table without any reservations, until the end of the conference.

Looking at the scribbled notes on the notebook, Faltings nodded slightly with satisfaction.

Compared to yesterday, today is barely considered to have made some progress.

In addition to proving that using homology groups and algebraic topological theory to study the morphism of smooth projective clusters on k is a waste of time, through algebraic chain theory, they successfully derived the category of smooth projective clusters on k as v (k) , Verifying one of Grothendieck's conjectures about the standard conjecture.

If it is normal, this exhilarating result alone is enough for them to open at least one bottle of champagne.

It's not just the staged results of the Grand Unified Theory.

This is also a phased result of the standard conjecture of verification.

But now, instead of mentioning champagne, no one is even optimistic about it ~ www.wuxiaspot.com ~ but the sense of urgency is getting stronger and stronger.

Algebraic chain theory is not a particularly complicated method, and Faltings believes that if they can figure it out, that person must also want it.

He has not published a paper for more than a month.

This either indicates that he is stuck in the bottleneck, or it means that he is brewing something more amazing.

Faltings is more inclined to believe that the latter is more likely.

After more than a month of hard work, he no longer expects to solve this proposition with his own power or Schultz's strength.

There may be some selfishness in it, but this is definitely not for yourself.

He now only hopes to gather the power of the entire Burbaki school to overcome this difficulty, so that the school's glory can continue, not be masked by the light emitted by a brighter lighthouse.

If that person really completes the Grand Unification Theory ...

Unlike the Riemann conjecture that brought thousands to the propositional ascension theorem, the grand unification theory will connect thousands of theorems in a straight line.

This achievement will even exceed the sum of all mathematical achievements in the 20th century.

After completing this great cause, his achievement will undoubtedly reach the peak of history ...

End of the meeting.

The participants got up and left.

Packing up the notebook, just as Professor Faltings was about to get up, he suddenly noticed the smartphone on the table, the screen flickered, and a line of unread email reminders popped up.

Forefinger clicked on the screen, and he picked up the phone and was about to see who sent the email.

But as soon as his eyes touched the email, he was stunned.

The text is short.

Short to only six letters--

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