Although Rio de Janeiro is hosting an international congress of mathematicians for the first time, there are many international mathematical conferences that have been held before.

According to Mr. Wang Shicheng, this is his seventh visit to the city, so he is quite familiar with this place.

After calling other Chinese mathematicians who came here to give a 45-minute report, the original group of four people became about a dozen people now, led by Academician Wang in front, to a Sichuan restaurant located on the street near the hotel.

The owner of this restaurant is a Chinese from a mountain town. It is said that he used to be a dispatched employee of PetroChina, but later found that it was more profitable to open a restaurant here, so he simply quit his job and started a restaurant here. Now that he has married a wife and had children in the local area, he has settled down.

The boss obviously knew Academician Wang, and when he heard that they were mathematicians who had come to attend the International Congress of Mathematicians, he happily gave them a 10% discount.

Later, when he heard that Lu Zhou was also here, this cheerful mountain city brother didn't discount it, and directly gave them a free order, and said that he would not accept any money.

Looking at Lu Zhou, who insisted on paying, the boss pushed his hand away without saying a word, and said with a smile.

"Now the entire Chinese circle in South America is rumoring that Professor Lu from Princeton won the first Fields Medal in China. It's my honor for you to come to my place for dinner, and I've invited you to do everything you want this meal! If you take the Nobel Prize, then my store will be open to eat, and you will be free of charge if you bring as many people as you want! ”

Hearing this, Secretary Cheng, who was standing next to him, said with a smile: "I'm afraid this is a bit difficult, there is no Nobel Prize in mathematics." ”

Zhang Wei's expression was a little subtle: "No, maybe Professor Lu really has hope......

Xu Chenyang also nodded: "Indeed." ”

Although the Nobel Prize in Mathematics does not exist, the Nobel Prize in Chemistry is promising.

Last year, Lu Zhou won the Hoffmann Medal in Germany, and earlier won the Adams Prize in Chemistry, which is a relatively well-known thing in the Chinese mathematical circle.

Secretary Cheng: ......?

Seeing the boss's resolute attitude, in the end, Lu Zhou did not insist anymore and accepted the kindness.

At the dinner table, after everyone got to know each other, Wang Shicheng, chairman of the Chinese Mathematical Society, raised his wine glass and said to Lu Zhou in a solemn tone.

"On behalf of the Chinese Mathematical Society, I would like to toast you, congratulate you on winning the honor of the Fields Medal, and thank you for bringing this honor to the Chinese mathematical community."

After touching the cup with Academician Wang, and after taking a sip, Lu Zhou said modestly: "Don't dare to be, I just did what I had to do." ”

After taking one bite and killing it, Academician Wang said with a smile: "I know that our research and learning are the first place, and as for the awards, those are the icing on the cake, but no matter what, I have to respect you for this cup." ”

"Lu Shen, I also toast a cup, it doesn't represent anyone, it represents myself." Xu Chenyang smiled heartily and raised the wine glass in his hand, "In the future, I will have the opportunity to come to our International Mathematical Research Center of Yan University, the only research institute in the world that is open in a courtyard, and it is not bad to travel there." ”

"Thank you," Lu Zhou replied with a smile, "I must visit if I have the chance!" ”

Originally, Lu Zhou didn't plan to drink too much, but on today's day worth celebrating, everyone was very enthusiastic, and Lu Zhou himself was very happy.

After a few laps of drinking, even though he drank a decent amount, he was slightly drunk.

However, on the other hand, taking advantage of this rare opportunity, Lu Zhou also met many people in the Chinese mathematics community.

For example, Xu Chenyang, such as Weishen, as well as Yunshen, Zhang Pingwen, etc......

Although not recognized by the Fields Medal, the Fields Medal has never been the only measure of a mathematician's greatness, in the academic world, they are respected scholars, and their work is important and cannot be ignored.

This meal took a long time, and it wasn't until two o'clock that Lu Zhou returned to the hotel drunk.

happened to be standing next to the elevator in the hotel lobby and saw Lu Zhou walking towards him, Schultz was slightly stunned.

"It's a banquet in the evening, and you've drunk too much."

Lu Zhou shook his head: "I didn't." ”

Schultz teased: "That's what drunk people say about themselves? Is your medal still there? ”

reacted a little to this sentence, and Lu Zhou subconsciously touched the inner pocket of his chest.

"Of course it's still there...... I'll just say I'm not drunk. ”

Schultz raised his eyebrows and said with a smile: "Okay, I'll test you a question." ”

Lu Zhou: "What's the problem?" ”

Schultz smiled: "For an elliptic curve E defined on a finite field, the most general Hasse-eil-L function should be the self-defeating L-function of GLn on the algebraic number field, and these self-defending L-functions can be uniquely decomposed into the product of the "standard" L-function. ”

Since the math level was raised to LV7, Lu Zhou has always felt more and more sensitive to the part of his brain about mathematics in the fuzzy memory interval.

Maybe it was just a casual glimpse in a book or a certain paper before, and something that can only be remembered when you go back and look through the literature again, can be recalled with a vague sense of déjà vu.

In the same way, Lu Zhou always felt that he had heard or seen this sentence somewhere.

After lowering his head and thinking for a while, Lu Zhou burped.

"It's an interesting statement, and if I'm not mistaken, it's probably a matter of algebraic geometry...... So? ”

Taking a step forward, Schultz said seriously: "No so, I just want to know 'why'?" ”

"My dear Mr. Schultz, I am not a hundred thousand whys, it is impossible for me to know everything......"

Lu Zhou pinched his brows and tried to concentrate, barely thinking for a while, and finally shook his head, "I don't know, this question is too difficult." And I have a hunch that trying to figure it out will take me three months...... Maybe it's half a year. ”

Hearing this, Schultz's eyebrows twitched violently.

Half......

This guy is really drunk.

The statement he said earlier is one of the many conjectures about the Artin-L function in the Langlands program, and it is also a very classic algebraic geometry proposition.

Over the past year, he has tried countless methods, and although he has achieved certain results, the most critical part is that he can't do anything.

Similarly, he didn't think that Lu Zhou could think of it, but he just hoped to hear different opinions from different people, and maybe he could have some unexpected inspiration.

Taking a deep breath, Schultz patiently asked, "Well, do you have any good ideas for this question?" Or maybe it's just the way of thinking. ”

Lu Zhou frowned and thought for a while, then suddenly his brows relaxed, and he said with a drunken smile: "If you want to prove that the above-mentioned self-defending L-functions can be uniquely decomposed into the product of the 'standard' L-function, you must first prove the uniqueness of the decomposition of the self-defending L-function...... That being the case, why not try to prove it by means of group representation or analysis? I thought I could give it a try. ”

In fact, Lu Zhou doesn't know much about this thing. His knowledge of algebraic geometry was limited to what Deligne had taught him, and some of the more in-depth propositions were only understood, but never studied in depth.

It is precisely because of this that he always feels a little ashamed of his grandfather, although he holds Gruntendick's suicide note, he never thinks of going to France to receive this mathematical legacy.

Under normal circumstances, Lu Zhou would definitely not talk about things he didn't know very well.

But drunk......

That's not a good way to say.

He thought of something, and felt that there was nothing wrong, so he probably said it in passing.

Listening to Lu Zhou's drunken nonsense, Schultz sighed, shrugged his shoulders and said, "I'll help you go to the organizer to get some sobering medicine......"

Group representation theory and analytical methods, such a general thing......

Wait a minute.

Thinking of the bottleneck he had encountered in his research, Schultz frowned slightly, sighed lightly, and crossed his arms to think seriously.

Looking at Schultz, who suddenly didn't speak, Lu Zhou was slightly stunned.

“…… I just said casually, don't take it to heart. ”

"No...... Perhaps, you have a point," Schultz said thoughtfully, with his index finger wrapped around the exaggerated length of his hair, "why not try the representation wheel method or the analytical method?" You're right, I didn't think of ......"

Lu Zhou: ......?

While muttering to himself, the Germanic young man with long hair seemed to have completely forgotten the sobering medicine he had said, and just walked away......