"Hello, grandpa, master." Xia Keke immediately followed Qiao Yu's words and called out sweetly.

The old man was a little confused and couldn't react. He looked at the pink and jade-carved female doll and said habitually: "Hello, hello, you look like a good boy."

Fortunately, Tian Yanzhen had already walked in with Qiao Xi at this time.

"Hello, Mr. Yuan. Professor Tan, when did you come to the capital? I didn't hear what you said."

"Professor Tian, ​​I just arrived yesterday. Mr. Yuan said that he would meet Qiao Yu's mother today. He said that you would come too, so we simply stopped contacting him." Tan Luyuan stood up and said politely.

In just two words, Qiao Yu felt that his tutor probably didn't have a good deal with Professor Tan.

But this Professor Tan should have a very good relationship with Mr. Yuan. The world of adults is indeed very complicated.

So before the two of them could continue their confrontation, Qiao Yu walked up to Qiao Xi and introduced: "Grandpa, Professor Tan, this is my mother, Qiao Xi. She has always admired you, Grandpa.

I know that you introduced me to a research group. Every time you call me, please remind me to take it seriously and never embarrass you and Director Tian."

Of course Qiao Xi never said such words, but she just smiled as gently as usual and said hello politely: "Hello, Mr. Yuan, Qiao Yu, this child has a naughty temper, please worry about it. "

Then he nodded to Professor Tan next to him.

"Qiao Xi, good, good, good, Star City is indeed a place with outstanding people. I have been thinking about what kind of mother can educate such an outstanding child as Qiao Yu. Today I understand. When I see this boy and girl, I They are all dragons and phoenixes in the world."

Yuan Zhengxin said cheerfully. It could be seen that the old man was very happy.

"Yes, yes." Tan Luyuan stood beside him and agreed.

"By the way, let me introduce you. This is Professor Tan Luyuan, the head of the Department of Mathematics at Yueshan University. He is also a world-renowned mathematician."

"Hello, Professor Tan."

…

After greetings, a few people took their seats. The dishes began to be served immediately. The first dish was roast leg of lamb...

Ever since Qiao Yu came to Huaqing for the first time, read a book all afternoon, and clamored for mutton, the old man had obviously memorized it.

No matter where you eat, there must be mutton.

But today there is no wine, only drinks.

In theory, Qiao Xi was the most important guest today, but after chatting for a few words, the topic naturally fell on Qiao Yu.

Professor Tan started the conversation first: "Qiao Yu, although today is the first time we meet. But Mr. Yuan has been praising you yesterday. Of course, your achievements are indeed worthy of praise.

I heard Mr. Yuan say yesterday that you are going to do research on prime numbers next. How about it? When are you going to come up with results that will surprise us?"

Just as Qiao Yu was about to answer Tian Yanzhen, he took over.

"Brother Lu Yuan, you can really look forward to this. Today Qiao Yu told me that proving the twin prime conjecture is as easy as playing a game, right, Qiao Yu?"

As he spoke, Tian Yanzhen looked at Qiao Yu with a smile.

"ah……"

Qiao Yu thought about it carefully, and was sure that's not what he said, but when he saw Director Tian's half-smiling look, he also thought that his tutor seemed to have trouble getting along with this professor...

He quickly answered bravely: "Yes, I plan to prove the twin prime conjecture during my undergraduate studies."

"oh?"

Mr. Yuan was obviously interested and said: "Directly prove the twin prime number conjecture? So you already have an idea? Why don't you talk about it now? Professor Tan also has a lot of research on number theory."

Qiao Yu glanced at the slight smile on Qiao Xi's face next to him, and his courage suddenly rose.

When his mother was not around, he would dare to brag nonsense. Now that he has a backer, his courage will naturally not become less.

"My idea is different from traditional number theory methods. I do not plan to use tools such as traditional prime number theorem and sieve method. Instead, I use nearly complete space theory and Langlands conjecture to build a new system to solve this problem."

Qiao Yu said boldly.

"Don't be so general, be more specific." Mr. Yuan put down his chopsticks and continued to ask with interest.

"Um...for example, a framework that connects twin prime numbers with Galois representations and modular forms. Then find possible relationships. Transform algebraic problems into geometric problems."

Qiao Yu replied quickly.

Fortunately, he thought about this problem yesterday, otherwise he would really not be able to answer the question.

"It's a good idea, but have you ever thought about it, the construction and calculation of Galois representation is extremely complicated. How do you construct an accurate Galois representation for each pair of twin prime numbers."

Professor Tan frowned and asked.

"It's very simple. If I can prove that the Galois representation of each pair of twin primes can be defined by the characteristics of the modular form, then the Galois representation can automatically carry the uniqueness of the pair without the need to rebuild it every time. "

Qiao Yu said casually.

Professor Tan was startled, then frowned even more, and asked subconsciously: "You mean to directly define the matrix represented by Galois in modular form?"

Qiao Yu nodded and replied: "Yes, of course I haven't figured out how to define it yet. I'll just give you a simple example:

For example, we can use the Fourier coefficients in modular form as the characteristic parameters of the Galois representation, then theoretically their traces can reflect the structure of the Fourier coefficients.

If it succeeds, I can find a general construction rule for the Galois representation of pairs of prime numbers. If it fails, I will look for other rules.

If you want to ask more, I can only say that I haven't thought about it yet. After all, Director Tian just assigned me this task yesterday, and I have been thinking about it for a whole day, and there is only one general idea that I think is feasible."

In fact, Qiao Yu had quite a lot of ideas, but Qiao Yu himself felt that the others were unreliable, so he stopped talking about them at this time.

Anyway, this is not an academic discussion, he is just trying to save face for his tutor.

Seeing Professor Tan frowning and thinking across the way, he felt that Director Tian should be very satisfied.

"Haha...Brother Lu Yuan, what do you think of my student's idea?" Tian Yanzhen asked with a smile.

"Huh... If he can achieve this result this year or early next year, by the way, Qiao Yu, you are sixteen years old this year, right?"

"Um……"

"Then we can look forward to the seventeen-year-old Fields Medal winner." Tan Lu looked at Tian Yanzhen from a distance and said with emotion.

"Don't be anxious, don't be anxious. If you can't do it in one year, it will take two years. Qiao Yu, don't feel pressured. There is no difference between seventeen and twenty-one."

Mr. Yuan glared at Tan Luyuan, then looked at Qiao Yu and said loudly.

Obviously, he didn't like Tan Luyuan's statement because it was suspected of flattering him.

Tan Luyuan was stunned at first, then smiled bitterly.

He guessed what Mr. Yuan was thinking, but he couldn't say anything. He really didn't mean it and just couldn't help but sigh.

After all, this idea is really not something that ordinary people can think of. Of course, even if it can be thought of, it is extremely difficult.

Just think about it and you will know how complicated this is. If it can be done, it means that using the characteristic matrix to directly describe the structure of number pairs will become a brand new number theory research tool.

It also greatly expanded the application boundaries of the Langlands Program. It would definitely be unjustifiable if we did not award a Fields Medal for this.

But just from the old man's reaction, we knew how seriously he valued Qiao Yu.

If he doesn't want to hear anything detrimental to his child, what else can he do?

Fortunately, Qiao Yu reacted quickly and said immediately

"I'm not in a hurry at all. Grandpa, have you forgotten? You said that you would definitely see me win the Fields Medal with your own eyes. At that time, I said that I would wait until I was in my thirties before I won the award."

Qiao Yu said, then winked at Xia Keke next to him.

The tacit understanding between the two little ones is undeniable. Xia Keke immediately picked up the cup filled with juice in front of her and said to the two big guys with a smile: "Grandpa Yuan, Grandpa Tian, ​​I offer you a glass of juice. I wish you the best." The two grandfathers are getting younger and younger as they live.

After twenty years of waiting like this, my brother will win the Fields Medal, and Grandpa Yuan and Grandpa Tian will be able to watch my brother receive the award together."

"Okay, okay, okay, you little girl is so well-behaved. Come on, come on, together, together."

These two words from the two children made Tan Luyuan stunned at first, and then suddenly felt that he was a little stupid, not as good as the two children who could talk.

He looked at Tian Yanzhen angrily, and that smiling face looked even more hateful!

…

After Xia Keke drank this glass of juice, he naturally attracted the attention of the two big bosses, Mr. Yuan and Tian Yanzhen.

Especially Mr. Yuan.

I started asking Xia Keke about the purpose of coming here. When I learned that it was to participate in the summer camp of Yanbei University, I started to care about Xia Keke's study situation again...

After learning about Xia Keke's situation, he made another decision.

"Before you leave, pick a day to come to Qiuzhai with Qiao Yu, and I will test you. If you can pass Grandpa's test, don't go to Yanbei anymore, and come to our Huaqing."

"Okay, grandpa, I'll give you another sip of juice."

"Okay, okay, okay."

Tian Yanzhen and Qiao Xi sat nearby and watched the scene with smiles without saying a word.

In short, a meal can be regarded as a feast for the host and the guest. It only makes people feel that the wine is not intoxicating, but the person is drunk...

…

"You don't have to rush to hand over the report to me tomorrow. The summer camp should start tomorrow. Xia Keke will participate in camp activities. You can take your mother around the capital.

If you want to go somewhere far away and need a car, just tell me and I will make arrangements for you."

Returning to Yanbei University, Tian Yanzhen told Qiao Yu before leaving.
To be continued...