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Chapter 458

After listening to Mr. Jill's story, Cheng Nuo finally understood the cause and effect of the incident.

The so-called "cleansing activity" of geometric conjectures, in a simple sense, means that the Clay Institute of Mathematics, together with nearly 100 mathematicians from all over the world, expects to solve all mathematical conjectures in the field of geometry within three years.

The trigger for the incident was Cheng Nuo's paper announcing the proof of Jacobi's conjecture a few months ago.

Since the birth of geometry more than 300 years B.C., conjectures have been put forward and conjectures have been proven.

Up to now, most of the conjectures in the geometrical world have been solved.

In addition to the front-end time, the hard bone of Jacobi conjecture was gnawed down by Cheng Nuo, which stimulated another round of conjecture in the field of geometry.

This gave the Clay Institute of Mathematics an opportunity to "catch it all".

At present, the mathematical conjectures of the top five echelons in the field of geometry are less than five fingers!

As a result, the Clay Institute of Mathematics issued a convening order, inviting a total of 86 geometric mathematicians from all over the world to gather in the United States to discuss this "cleaning activity".

As the provers of the Jacobian conjecture and one of the mathematicians with the highest popularity in front-end time, Cheng Nuo was naturally invited to participate in this "cleaning activity".

And, according to Mr. Jill, Cheng Nuo will play an important role in this "purge activity", and it is not just a matter of gathering people in the past.

"That's it. Professor Cheng, I have brought you the invitation letter from the Clay Institute of Mathematics, and this planned discussion will be held in a week, so please prepare it in time. Mr. Jill pulled an invitation from his pocket.

Cheng Nuo took the invitation, looked back and forth a few times, and said with a smile, "Well, I know." ”

Quite interesting!

To be honest, Cheng Nuo didn't expect that the group of guys at the Clay Institute of Mathematics would have quite ideas.

Arrange all the geometric conjectures to be solved in the same time period, and if successful, the Clay Institute of Mathematics can become as famous and wealthy as the seven conjectures offered a million bounties at the beginning of the twenty-first century.

And, in Cheng Nuo's view, the possibility of success at the Clay Institute of Mathematics is not small.

Eighty-six mathematicians in the field of geometry, even if some of them were just to make up the number of people in the past, but there should be thirty mathematicians who finally devoted themselves to this purge project.

This kind of power is comparable to all the geometric academic power of some small mathematical countries.

Moreover, the purge plan is not intended to solve all the mathematical conjectures that exist in the geometrical world.

Property insurance that does not even have a specific name, is fabricated without any theoretical basis, and has little academic value after being proven will be discarded.

If you calculate carefully, there are less than ten.

The geometric world is not like the number theory world. In the field of number theory, top-level conjectures are everywhere, such as the Riemann conjecture, the Goldbach conjecture, and the twin prime conjecture......

Any one of them is not something that can be safely done by a group of mathematicians in a few years.

In the field of geometry, the only conjecture in the first echelon is Hodge's conjecture!

Since the Clay Institute of Mathematics nominated Cheng Nuo to participate, Cheng Nuo couldn't shirk it.

After a brief preparation, Cheng Nuo flew to the city of Manchester, where the Clay Institute of Mathematics is located.

............

The Clay Institute of Mathematics has a strong appeal in the mathematical community because of the seven major mathematical conjectures twenty years ago.

Soon, an international research collaboration called "GCPU" was launched, led by the Clay Institute for Mathematics.

On the first day, after discussions among several mathematicians, the list of conjecture cleansing plans was finalized.

Eight mathematical conjectures, including the Hodge conjecture, the geometry conjecture, and the Yamako-Shimura conjecture, are included in the list.

Once the goal is set, the next step is to assign tasks.

The staff of the Clay Institute of Mathematics approached Cheng Nuo and conveyed their wishes.

There are two plans in front of Cheng Nuo.

The first is to join the "geometric conjecture" proof group and take the position of deputy leader.

The other is to lead the proof work of the "Taniyama Shimura Conjecture" as the team leader.

Without any hesitation, Cheng Nuo chose the Taniyama Shimura conjecture proof group.

than being commanded by someone else. Cheng Nuo still prefers to command others.

The Clay Institute of Mathematics arranged quickly, and in the morning, according to the wishes of the mathematicians, the thirty-eight mathematicians were divided into nine proof groups to prove nine major conjectures in the field of geometry, including the Hodge conjecture.

Cheng Nuo, on the other hand, is the controversial leader of the Yamagushi Village conjecture proof team.

Nine groups, Hodge's conjecture proved to be the largest group of eight. Cheng Nuo: There are only three people in their group, including Cheng Nuo.

Cheng Nuo's two professors are one from Belgium and the other from Denmark.

The two of them were at the bottom of all the thirty-eight mathematicians, otherwise they would not be willing to give a young man in his twenties.

Although many mathematicians have a lot of complaints about Cheng Nuo's role as the team leader, they do not include the two under Cheng Nuo.

The two professors were very honest, and they did not rely on their qualifications to push Cheng Nuo's orders, which made Cheng Nuo very satisfied.

When solving Jacoby's conjecture, although Denton and Qiao Yana, two doctoral students, were relatively easy to use, their level was limited after all, and most of the content needed to be done by Cheng Nuo alone.

But now it's different.

The professor-level boss gave him a hand, and Cheng Nuo only needed to solve the core problem.

And he's just an associate professor.

Beautiful!

Cheng Norton felt refreshed.

This kind of treatment can only be enjoyed in such large-scale international scientific research cooperation projects.

Since the Clay Institute of Mathematics is willing to let him serve as the leader of this group when many people are not optimistic, then Cheng Nuo will naturally complete the work they have given him perfectly.

............

November 28th.

Cheng Nuo looked out the window with lost eyes, his thoughts drifting in his mind.

The Taniyama Shimura conjecture was proposed in 1984 by the island mathematician Taniyama Shimura at a mathematical symposium and established a connection with Fermat's theorem.

Today, Fermat's theorem has been proven, but Taniyama's Shimura conjecture still stands.

The specific content of Taniyama Shimura's conjecture is:

If p is a prime number and e is an elliptic curve over a field of q rational numbers, the equation modulo p that defines e can be simplified, and in addition to the finite number of p values, an elliptic curve on the finite field fp with np elements is obtained. Then consider the following sequence

ap np p，

This is an important invariant of the elliptic curve e. From the Fourier transform, each modulo form also produces a sequence. An elliptic curve whose sequence is identical to that obtained from the modular form is called modular.

Taniyama Shimura's conjecture is that all elliptic curves on q are modular!

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