The encounter between Qin Ke, Ning Qingyun and Professor Tao was quite dramatic.

This mid-year academic report meeting of the AMS (American Mathematical Society) was held at the University of California, Berkeley. Mid-August happens to be when the school is on summer vacation, so there is no need to worry about affecting the school's teaching order.

In addition to listening to lectures, Qin Ke and Ning Qingyun will naturally walk around and visit world-class prestigious schools.

That evening, the two of them walked hand in hand on the university campus in a foreign country. They found that there were still many students staying on campus during the summer vacation to participate in research projects. Because of the good weather, these research groups often held discussions directly on the lawn or under a big tree.

carried out in the form.

Such an academic atmosphere made both Qin Ke and Ning Qingyun sigh. Qin Ke even remembered Mr. Qiu's question in the Qiu competition finals and couldn't help but sigh:

"I found that the students here are really different from the students at Qingmu University. For example, most students at Qingmu University choose to study quietly and do problems alone in the library, while the college students here prefer to study in the form of exchanges and discussions.

, pay more attention to the sparks generated by the collision of ideas to improve yourself.”

Ning Qingyun blushed. She has been the type who likes to read and study alone since she was a child and does not like to communicate with others. She changed after meeting Qin Ke, but the change was only to being willing to work with Qin Ke.

When it comes to discussions and exchanges, there is no academic exchange with others, even friends in the same dormitory.

Of course, this is mainly related to the fact that she has always been too good. Except for Qin Ke, none of her classmates can have academic exchanges with her. At most, she can unilaterally guide others to study.

Her eyes moved, she quietly touched Qin Ke, pointed at a middle-aged professor in the distance and said with a smile: "Look, there are scholars over there who like to think alone."

Qin Ke looked in the direction of her little finger and saw a black-haired man squatting by the lake, writing and drawing on the sand with a branch, which was somewhat out of place with the lively discussions under the surrounding trees.

The students glanced at the black-haired man from time to time, but they went over without disturbing him.

Qin Ke became a little curious and said to Ning Qingyun: "Let's go over and see what he is writing."

"Okay, will it disturb others?"

"We won't talk, just watch quietly."

Qin took the girl's soft little hand and walked together behind the black-haired man. He saw that the ground was covered with mathematical equations. The black-haired man stopped writing, apparently deep in thought.

Ning Qingyun looked at it for a while and could only understand that it was related to the two-dimensional conformal field theory. She couldn't help but whispered: "What is this writing? Two-dimensional conformal field theory? Random matrix?"

Qin Ke was slightly surprised: "He is..."

Before Qin Ke could finish speaking, a blond American student ran over and gestured for the two of them to leave.

Seeing that the students were all staring at this, Qin Ke guessed that what the black-haired man was writing might involve his academic achievements and could not be watched by others, so he pulled Ning Qingyun away and replied as he walked: "He is here

The derivation of the Bennell-type random matrix integral is formally equivalent to the D-F integral in two-dimensional conformal field theory."

Ning Qingyun nodded with some admiration. Random matrices are a category of probability. Ning Qingyun is not good at it. She is best at number theory, calculus, functional analysis and other directions. She is only a sophomore in her junior year in other sub-subjects.

She had never heard of this Bennell-type random matrix.

"Is this difficult?"

"It's not bad. It's naturally much less difficult than world-class conjectures, but no one has been able to deduce it completely yet." Qin Ke recalled the derivation process he just saw: "This person is very powerful, he

Basically, most of it has been derived, but I am stuck on the demonstration of the Tau function of integrable systems."

Ning Qingyun didn't quite understand, but seeing Qin Ke's calm expression, he couldn't help but ask, "Then can you deduce it?"

Qin Ke smiled and said: "If you suddenly asked me to deduce it completely, of course I can't do it. Such a difficult problem cannot be figured out at a glance. It will take about half an hour. But now this dear friend has deduced it.

At this point, I can deduce the rest."

Both of them spoke in Mandarin and were not afraid of being heard by others, so they did not lower their voices intentionally. Suddenly, they heard someone ask in English: "Can you solve the argumentation problem of the Tau function of this integrable system?"

Qin Ke and Ning Qingyun turned around unexpectedly and saw that the black-haired man had stood up at some point and was looking this way.

Qin Ke was startled because he found that the black-haired man looked familiar, but he couldn't remember who it was.

This black-haired man is probably about the same age as Qin Ke's father, but he has a very young face. He has a middle-parted hairstyle, a pink top and yellow-gray pants, which are neither fish nor fowl. His long bangs, which look a bit messy, almost block half of his hair.

gold glasses.

This is a typical science guy who doesn't care about dressing up.

The black-haired man met the two of them and asked in English with some surprise: "Are you Qin Ke and Ning Qingyun from the Xia Kingdom?"

Qin Ke and Ning Qingyun did not deliberately disguise themselves, but they also wore sunglasses that covered half of their faces. People who were not familiar with them would not have recognized them easily. Unexpectedly, this black-haired man could actually recognize them at a glance.

"Yes. You are..." Qin Ke always felt that this person looked more and more familiar. Ning Qingyun next to him asked in surprise: "Are you Professor Tao from the University of California?"

Qin Ke also suddenly remembered, isn't this the internationally famous Xia-born mathematician, Professor Tao Zhexuan, the elder of the Philippine Prize?

Qin Ke has admired the name of this legendary mathematical genius for a long time, and even wanted to test whether Professor Tao was really "cheating", for example, there was a system or something.

It's interesting to say that since Qin Ke won the IMO gold medal two years ago, some people called Qin Ke "Little Tao Zhexuan". After Qin Ke won the "Mathematics Breakthrough Award", people on the Internet began to say that he can compete with

Tao Tao was stunned.

Some domestic reporters even asked, Mr. Qin Ke, do you think you can surpass Tao Tao Zhexuan in the future?

Anyway, Professor Tao is the standard for comparison. It seems that only by surpassing Professor Tao can Xia Guo mathematicians really stand up.

Professor Tao stepped forward, shook Qin Ke's hand, showed a friendly and slightly shy smile and said: "Hello, Tao Zhexuan, University of California."

Qin Ke took off his sunglasses, revealing his handsome face, shook hands with Professor Tao, and said in Cantonese: "Hello, Professor Tao, I have long admired you."

Qin Ke had learned some Cantonese from the little fat man Jiang Zhenjie and could barely converse in Cantonese. Now he spoke in Cantonese, naturally because he remembered that Professor Tao knew Cantonese.

Sure enough, Professor Tao was extremely pleasantly surprised and immediately replied in Cantonese: "Qin Ke, it's great that you can speak Cantonese. Except with people outside my family, I haven't had the opportunity to speak Cantonese in many years."

Qin Ke shrugged his shoulders: "My dad used to like to watch Hong Kong versions of Cantonese movies, and I have been used to them since I was a child. Unfortunately, my language talent is not very good. I can't listen but I can't speak. It wasn't until I went to college that a roommate came from Guangdong Province.

That’s why I learned dozens of sentences, and if I talk any more, I’ll be exposed.” At the end of the sentence, his Cantonese was no longer fluent, so he switched back to English.

Professor Tao also switched back to English and said with a smile: "You are much better than me. I have been trying to learn Mandarin for these years. Unfortunately, I also have no language talent. I can only half-understand what I hear, and I can't speak. When is the language

It would be nice to be as simple as math."

As a mathematician who is active on the Internet and likes to comment on the country, Professor Tao is extremely talkative and has a sense of humor. The last sentence was obviously a joke.

Qin Kele was amused: "Professor Tao, if liberal arts students who are not good at mathematics hear your words, they will go crazy."

Ning Qingyun was confused at first because she didn't speak Cantonese at all. Fortunately, the two of them switched back to English and she finally understood. She couldn't help but purse her lips and chuckle. Out of politeness, she also took off her glasses.

Everything seemed to be brightening up.

The American students were initially surprised to see Professor Tao suddenly chatting with these two foreign Asian students, but when they heard the names "Qin Ke" and "Ning Qingjun", they began to stir up. At this time, they saw

Both of them took off their sunglasses, revealing their true faces, and even looked at them with surprise, curiosity, and a hint of awe, but they didn't dare to come and disturb the conversation between the three of them.

Professor Tao also looked at Ning Qingyun twice and said with a smile: "Qin Ke, your girlfriend is the most beautiful girl I have ever seen."

Qin Ke blinked and joked: "Prettier than your wife?"

Professor Tao said humorously: "Oh, my wife Laura can no longer be called a 'girl', but she will always be the most beautiful lady in my heart."

Professor Tao's wife is his student. She is not pretty, but she is also outstanding in science. She once worked as an engineer in NASA's Jet Power Laboratory.

Professor Tao chatted with the two for a few words, and soon brought the topic back to mathematics. He asked curiously: "Qin Ke, I heard you just now, do you know how I can deduce it?"

"That's right. In fact, your idea is very clear. You just need to start with the Tra distribution of the Painlevé II integrable system."

Qin Ke said, picking up a branch and writing on the sand:

"μ2(dM))= P2(M)dM = (M^2) bTr(M) c]dm..."

After about three minutes, he dropped the branch and said, "At this point, the argument is complete."

"You are trying to find the solution to a specific Panleve equation... That's right, why didn't I think of that!" Professor Tao exclaimed with a hint of wonder in his eyes: "A very perfect argument. Amazing, Qin

Ke, you are even more powerful than the rumors say."

As a genius who is accustomed to being looked up to, Professor Tao has not been so impressed by a person's mathematical ability for a long time. It was his mentor Elias Stein, the winner of the Wolf Prize, who once let him

He looked up and marveled, but as his level improved, not many people could make him feel like this.

The young boy from Xia Kingdom in front of him gave him a feeling of sympathy and admiration.

Qin Ke smiled and said: "Professor Tao, you can actually figure it out. I see that you have already thought of the Gauss unitary ensemble in the steps you just took. I estimate that it will take you ten more minutes to come up with this solution. To be honest, if I didn't follow suit,

Following your train of thought, I can’t imagine the subsequent derivation process.”

Qin Ke did not underestimate the mathematical genius in front of him. From the derivation process he just saw written by Professor Tao, it is obvious that he is very proficient in probability and statistics. He is worthy of being called a super genius who is proficient in all fields of mathematics.

, Qin Ke even wanted to ask if there really was a system plug-in.

Professor Tao waved to the American students, and a group of American students came over and said politely: "Professor Tao."

"The argument process I wrote there, plus the argument process here, is the answer you just asked me. Come and see for yourselves."

A group of American students looked at me and finally lowered their heads and thanked Professor Tao and Qin Ke.

Professor Tao then smiled and said to Qin Ke and Ning Qingyun: "Have you had dinner? Come on, I'll treat you to dinner. I want to thank you for doing me a favor."

Qin Ke and the others chatted with Professor Tao and found out that his usual place of work was the University of California, Los Angeles. This time he came to Berkeley just to attend an academic seminar. Unexpectedly, he met several people who recognized him.

The students who came asked questions, and on a whim, he tried to deduce the answers on the spot.

"Qin Ke, if you hadn't reminded me, I might have spent an extra half hour here." Professor Tao did not have the arrogance of the elder Fei Jie.

He was quite worth making friends with. Qin Ke had a better impression of him. The three of them chatted and walked to the restaurant.

This chapter is not finished yet, please click on the next page to continue reading the exciting content! Professor Tao took the two of them directly to a restaurant on campus, glanced at Chen Ming and Chen Lan who were following them, and asked:

"companion?"
To be continued...