"Hello, Qiao, seeing such a handsome and energetic young man like you, I seem to have become younger." Lucas Eisen said with a smile. Qiao Yu, like many teenagers, smiled shyly laugh.

"I don't need to introduce Dennis and Pan to you. This is Professor Lauren Sam." "Hello, Professor Sam."

"Hello, Joe, Dennis chatted with me for a long time yesterday and shared some of your ideas. I have to admit that the method you used is very interesting and I had never thought of it. I hope there will be opportunities to cooperate in the future." "Thank you. You, Professor Sam, will definitely have it." Qiao Yu immediately echoed.

"This is Professor Yonex Frank from Berkeley. You have never met him or Professor Sam, but you must have read their papers." When introducing Frank, Pierre Delini added. Qiao Yu did not He suppressed his smile and looked at the man with a normal expression.

"Hello, Professor Frank."

Frank has been silently observing Qiao Yu. Basically, he can conclude that Qiao Yu does not know him, at least he does not know his relationship with him. After all, it is difficult to imagine that a sixteen-year-old boy can have such deep knowledge. Even all the time. Didn't even look at him.

"Hello, Qiao Yu." In order to create a sense of intimacy, Frank directly used Chinese.

"Huh? Professor Frank, your Chinese is really good, almost as good as Professor Pan." Qiao Yu immediately switched to Chinese and said with a face of surprise. At this time, Qiao Yu also looked at this man openly.

I have to say that after gaining weight, the face has become completely longer and deformed. It is not as handsome as in the photos on INS, but it is a bit more calm. This made Qiao Yu decide to criticize Qiao Xi after returning home.

If he hadn't first seen this man's photo on Instagram when he graduated from MIT, he wouldn't have recognized him at all. This also made Qiao Yu very wary. He couldn't be this fat when he was in his thirties. He needed to strengthen exercise.

"Actually, I didn't come to the United States until after high school." Frank explained.

"No wonder, Professor Frank, where in China are you from?" Qiao Yu asked curiously.

Frank hesitated for a fraction of a second and replied: "Oh, I used to live in Star City."

Qiao Yu said happily: "What a coincidence! To be honest, I am also a native of Star City. No wonder your accent sounds a bit like Star City." "Oh? Are you from Star City too? That's such a coincidence. , but you speak Mandarin."

"Haha, that's because teachers in schools now only teach Mandarin."

The big guys next to them smiled and watched the two of them chatting for a few words in Chinese before Tian Yanzhen went out and said: "Okay, let's eat something first. Qiao Yu, you can't go on stage hungry to give a report later. ." Breakfast at the Monet Hotel was also a buffet style. After everyone dispersed, the two of them continued chatting smoothly, still using Chinese.

"To be honest, I didn't plan to come to this meeting originally. I heard that you solved this problem, so I rushed here. Can you tell me how you solved the problem of conjugate ridge singular points?" Frank followed. After Qiao Yu's death, the problem turned to the academic direction.

"Professor Frank, this is actually very simple. It is to introduce the LGIR tool and a consistency correction operator. If you are given more time, you will definitely be able to think of it. I am just jumping the gun. But there is definitely not enough time now. I will report back later. You'll know once you know it." Qiao Yu replied casually.

One sentence left Frank speechless.

"Actually, it's not that simple..." Pan Jingyuan, who was next to the two of them, said.

Dennis and Sam were no longer with the three of them because they couldn't understand Chinese. Only Pan Jingyuan came over. "Haha, Professor Pan, thank you." Qiao Yu looked at Pan Jingyuan and said with a smile.

In fact, Pan Jingyuan came to join in the fun today simply because he always suspected whether Qiao Yu had any conflicts with Sam or Frank. But now it seems that it is really the first time for them to meet. No one showed anything special...

It seems everything is just a coincidence.

Frank shrugged, picked up a piece of bread and put it on a plate.

To be honest, he had no appetite. But Qiao Yu had a good appetite. He took a bunch of things and a glass of milk. Then the three of them sat down together naturally.

"Professor Frank, do you only eat this little?" Qiao Yu asked with concern after sitting down.

"Oh, I haven't had a very good appetite lately." Frank replied casually.

"Ah? That can't be because it is the result I made this time, right? Really, Professor Frank, at that time I was simply attracted by the creative thinking mode of the geometric Langlands conjecture, and subconsciously wanted to study those structures.

Really, at that time, I felt that the proof process between you and Professor Sam had a very special sense of beauty, that kind of incomplete beauty. At that time, I wanted to discuss it with you or Professor Sam, but I didn’t have your email addresses. Later, it was a chance. What a coincidence, I suddenly thought of what the problem was... Hey, you won't blame me anyway, right?" Qiao Yu said carefully.

These words made Pan Jingyuan next to him not know what to say.

Incomplete beauty...

What kind of description is this?

Frank just twitched his lips slightly and replied with a wry smile: "Of course it's okay. It can only be said that our proof has loopholes. In fact, everyone has the same goal, and your method is better. In fact, I am very happy. After all, This problem has finally been overcome. As Professor Sam said, maybe we can still work together in the future."

"Huh...that's great!"

Qiao Yu looked relieved and said: "If Professor Sam can be as generous as you, I won't worry. In fact, what I am most afraid of is that this result will affect you two professors. After all, Professor Pan Say, you have all spent many years on this subject."

Frank smiled bitterly, while Pan Jingyuan glared at Qiao Yu and said, "Ahem, that Qiao Yu, actually I really want to know how you suddenly got the inspiration."

"I don't know either. After I called you that day, Professor Dennis came to see me the next day. After telling him my general idea, he suddenly thought of a complete solution as soon as he returned to the room, and then he even prove it

. Maybe the goddess of mathematics doesn’t want the professors’ previous work to be in vain?

If Frank wasn't around, Pan Jingyuan would have felt that what Qiao Yu said was of good quality.

But now Pan Jingyuan is a little troubled, it seems like he shouldn't come over to join in the fun.

The dining table finally became quiet. It seemed that after Qiao Yu's words, everyone lost interest in chatting and ate the food in front of them in silence.

But only Qiao Yu ate happily.

Of course, this only shows that young people have a better appetite.

As for Frank, it was obvious that he really had no appetite. He only ate half of a piece of bread.

Finally, when the meal was coming to an end, Frank handed Qiao Yu a business card.

Qiao Yu took it and looked at it, well, professor at Berkeley, like Hua Xia, this is a senior professional title. In addition, there is his email and research field information.

"There is my email address above. Like I said, maybe we can cooperate in the future. In the next stage, I may do some research on conformal field theory. If you are also interested, you can join in."

"I'm so honored, Professor Frank. But it may take a while. You may not know yet, but I'm still in Professor Li's research group, doing research on the two-dimensional generalization of Chevalet's theorem. Wait until this topic is completed. Yes, you must let me join the team when the time comes."

"No problem!" Frank said with a complicated expression as he looked at the smiling boy. He really seemed to have seen himself when he was young.

....

In the venue, Zhang Nuoke was watching the cameraman next to him adjusting the equipment. He was a photojournalist from China Media.

After his news spread back to China, the country's attention to the World Congress on Algebraic Geometry was obviously much higher. If there are no accidents, today's news program from 7 to 7:30 may even have about a minute and a half. Play this video news on time.

Naturally, the material must be taken from the photography of this cameraman.

Don’t underestimate these ninety seconds. You must know that the information density of the seven o’clock news program is very high. The requirement for the host is to broadcast 290 to 300 words of content in one minute. Ninety seconds That means more than four hundred words.

A mathematics conference was broadcast to the whole country in a news program, and the host was asked to speak more than 400 words to cover the mathematics conference in a fancy way, let alone the one with pictures. One can imagine the importance that Taiwanese attaches to it. .This also made him full of curiosity about this Qiao Yu.

I don’t know how this sixteen-year-old boy will perform. Fortunately, the conference will start soon.

Zhang Nuoke turned his head and glanced into the venue. The large conference room, which can accommodate thousands of people, was almost full of mathematicians from all over the world... What a big scene. The opening ceremony of the Mathematicians Conference Usually not too complicated.

Especially today's conference does not have a cumbersome award ceremony like the World Congress of Mathematicians.

Soon, under the connection of the host, the big bosses of the organizing committee had already stepped down, leaving the most dazzling stage to Qiao Yu.

Even though the mathematicians in the audience had already prepared for it, when they saw such a young face walking onto the podium, there was still a burst of noise, mixed with applause, which seemed a bit abrupt. Of course. For Qiao Yu, these are small things.

He was in a really good mood at this time, especially when he found that among the big guys, including the Geometric Langlands Conjecture team, especially the man sitting in the front row, where he had the clearest view, He couldn't help but laugh out loud.

The man's expression looked too serious... He was just listening to a report, why were he so serious?

"Haha... I'm sorry, um... I seem to be a little too excited! But as everyone knows, this is my first time standing on the podium to give a report, so I hope that I can get everyone's approval Please forgive me and let me do it all over again."

There was a good-natured chuckle from the audience.

After the laughter subsided, Qiao Yu calmed down and his expression became serious: "First of all, I would like to thank the organizing committee of the conference for giving me this opportunity to share with you the partial proof process of the geometric Langlands conjecture. I also want to thank everyone for coming. But The most important thing is to thank Professor Dennis and Professor Pan from the Geometric Langlands Conjecture team for their great help during the research process. Of course, Professor Sam and Professor Frank also contributed.

Although there were some minor errors in their research results, it was these errors that inspired my thinking and allowed us to understand how to avoid the failure of plans caused by minor errors in key details.

First of all, I want to start with a special type of conjugate ridge singular points. The characteristic of this type of singular points is that they not only appear as common singular structures locally, but also have a complex ridge-like expansion globally. There is a conjugate relationship between the local geometric structure and other remote points in the algebraic variety, even non-adjacent singular points."

After he finished speaking, Qiao Yu also opened the PPT that had already passed the review committee of the organizing committee. A standard ridge structure singularity also appeared in front of more than a thousand mathematicians attending the meeting.
Chapter completed!