This time we reunited in Xia Kingdom. Considering that Edward and Lao Tao had become closer to each other in calling him, Qin Ke asked everyone to call him as usual in order to avoid making Faltings and other old friends feel a sense of distance.

"Qin Ke" should not be called "Academician Qin", so at this time Lindenstrausch directly called Qin Ke by his name, and Qin Ke also directly called Lindenstrausch's name "Elon".

Faced with Linden Strausch's incredulous question, Qin Ke smiled and simply answered:

"As long as I can find it, I have basically read all the papers in the world's mainstream mathematics journals in the past twenty years."

He did not explain it in detail, but he had indeed read it. His mind had now digested and absorbed the master-level mathematical knowledge transmitted to him by the system, which included all mathematical papers from the world's top mathematics journals over the years, "

"Proceedings of Mathematics" is also a very famous SCI journal in the field of mathematics, and is also included in this knowledge.

"In the past twenty years? All? Even in the world's mainstream mathematics journals, there are tens of thousands of papers, right?" Everyone's eyes widened in shock.

Qin Ke nodded: "There are indeed tens of thousands of articles, and the more accurate number is more than 53,000."

Everyone was amazed again.

With Qin Ke's status at this time, there was no need to brag. If he said he had seen it, then he must have seen it.

But that’s more than 53,000 articles!

Faltings is the editor-in-chief of the "Annals of Mathematics" and has a deep interest in mathematics. He often looks for papers to read, but he estimates that he has only read 20,000 papers in his life.

Seeing everyone's shocked expressions, Ning Qingyun raised the corners of her mouth proudly, and looked at her husband with eyes filled with pride.

She knew that Qin Ke did have more than 20 gigabytes of scanned papers on his computer, all of which were collected by Weiguang. Ning Qingyun herself had read hundreds of papers that Qin Ke had selected for her, but her speed was

My reading ability and thinking ability are far inferior to Qin Ke's, and I can't read all the papers like Qin Ke.

Faltings couldn't help but asked curiously: "Qin Ke, how long did it take you to read these papers?"

"I read books and papers relatively quickly. There is not much content in a paper that is really worth reading. It takes me about 5 minutes to read a paper on average. I started reading it when I was a sophomore in high school, and I often flip through every issue now.

The latest releases of the four major journals.”

Read one article in 5 minutes!

Everyone was shocked again, Faltings even twitched the corner of his mouth, thinking to himself, it would take him 5 minutes to read the summary and the preface, right?

"Well, Qin Ke, let me ask, have you read the paper titled "Proof of Cohomology of Non-Compact Singular Algebraic Family with Mixed Hodge Structure"?"

Qin Ke smiled and said: "This is one of Professor Deligne's masterpieces. I read three of them carefully when I was an undergraduate. If I remember correctly, it should have been published in "munications on Pure and Applied" in July 2003.

Mathematics (Communications of Pure and Applied Mathematics), right? Extend the classical Hodge theory to the non-compact family of singular algebras, and prove that the cohomology of the family of non-compact singular algebras has a mixed Hodge structure. This is Deligne

The professor’s most famous paper is his innovative use of algebraic variety cohomology theory, which successfully solved the last conjecture in Weil’s series of conjectures.”

Deligne couldn't help but applaud: "Awesome, I can even remember the year and source!"

Faltings did not ask any more questions, but shook his head and sighed: "It seems that in the future, if someone says that Qin Ke can achieve such dazzling mathematical achievements because of his extraordinary mathematical talent, I will have to raise some objections. Of course, talent is

One of the very important reasons, but the diligence and hard work of reading at least 50,000 papers in mainstream mathematics journals over the past two decades is the important reason why he can become the world's leading mathematician."

Delignevor said: "No, I actually think that the ability to read so many papers in just a few years, and to be able to casually tell which year and month it was published in which journal and what the main content is, is

This is truly rare, as it proves that Qin Ke has integrated the knowledge of the paper into his own theoretical system. I finally understand where his incredibly profound knowledge of all disciplines comes from."

Wiles smiled at everyone and said: "If anyone has a headache about how to teach students in the future, let them learn from Qin Ke and write more academic papers. Maybe they can really become a mathematics master."

Edward Witten waved his hand and said: "Andrew, what a bad idea you have. Anyone can use Qin Ke's spirit as an example to learn from, but they cannot learn from his path to success. This is his unique talent. No one can learn from it."

You can learn it.”

He looked at Faltings and others and continued to sigh: "The longer you get along with Qin Ke, the more you will find that he was born for mathematics, even if he is in the same class as Newton, Leibniz, Gauss, Euler, and Poincar."

Compared with the super geniuses in the history of mathematics such as Lei, Riemann and Descartes, he will only be better. You simply can't imagine that Tao and I saw the relatively complete 'new geometry' proposed by Qin Ke at the end of last month.

How I felt during the theory! We thought we were seeing God!”

Lao Tao also agreed with admiration: "Yes, Qin Ke's 'new geometry' essentially connects algebra and topology. Topology was born out of geometry. Unexpectedly, 300 years have passed since then.

It grew to the point where it became an important discipline in its own right, and was eventually re-included by this 'new geometry' theory."

Listening to them blowing more and more outrageously, Qin Ke couldn't help but said: "Okay, okay, if you keep blowing, I will float up. Wife, please quickly find a rope to tie my waist, so that you can still float me in the air."

Pull me down again."

Everyone laughed at the same time, and the atmosphere in the hall became more lively.

When everyone sat down again, Faltings asked with bright eyes: "Qin Ke, the 'new geometry' they just talked about is the 'new unified theoretical framework of mathematics' that you have recently developed?"

"No, this 'new geometry' is only part of the unified framework of our research, and there are still many unresolved problems and has not been formally drafted. Let me introduce it briefly. Mr. Grothendieck established

Algebraic geometry absorbs some key contents of number theory, topology and analysis. My current 'new geometry' is also based on this, and is based on 'general shape theory', 'Top K theory',

"Motive theory", "stable topology", "flattened cohomology and L-advanced cohomology", "crystalline cohomology and topological cohomology" are just derivative expansions, which are not yet mature enough at present.

It’s still far from being truly formed.”

Wiles, Lyndon Strausch, Faltings and Deligne all made their hearts itch when they heard it. For real mathematics enthusiasts, hearing such "new geometry" makes people excited.

Especially Faltings and Deligne, both of whom were students of Grothendieck. I heard that Qin Ke had made significant derivative expansions on their teacher’s algebraic geometry, and I wanted to ask Qin Ke directly about it.

Check out the research results.

But they know very well that these are unpublished research results. Even if they are good friends of Qin Ke and others, they still need to avoid suspicion. Unless Qin Ke and others take the initiative to communicate and discuss with them, they cannot and should not pursue questions.

of.

Lao Tao looked at the four people who were hesitant to speak, and then smiled and said to Qin Ke: "Look, I said that even if they want to know more details, they will not take the initiative to speak. You should bring it up.

.”

Qin Ke smiled and said to the four of them: "If you are interested, we can discuss this 'new geometry' together. Mr. Faltings and Mr. Deligne, you learned from Mr. Grothendieck, right?"

This 'new geometry' has the most say."

Qin Ke has indeed encountered some bottlenecks in "new geometry" recently. He has been discussing with Mr. Ning Qingyun, Edward, Lao Tao, and Mr. Qiu for nearly a week, but there has been no major progress. It happened that Faltings and others came to Xia Kingdom

While attending the Wolf Prize Award Ceremony, Qin Ke wondered whether he could communicate with these top mathematicians and create new sparks of inspiration from the collision of mutual ideas.

As for the leakage of research results, Qin Ke is not worried. Firstly, he trusts the character of Faltings and other old friends. Secondly, mathematics currently has too many sub-disciplines, which can even be called "intersecting lines like mountains."

"New Geometry" involves many subdivided fields, and no one else in the world except him can master all its essence.

Regarding Qin Ke's proposal, Faltings, Deligne and others naturally agreed happily: "If you agree, of course we will be happy to participate in the exchange."

"It's still about an hour before dinner is ready. You don't have to be polite. The coffee is ready. You can listen to me while drinking coffee." Qin Ke wiped off the content on the whiteboard and started talking and writing.

Here’s the formula:

"The core of this 'new geometry' is algebra and geometry, but it is by no means limited to these two disciplines. Calculus, number theory, topology, probability, chaos and other contents have been successfully penetrated into it.'

New geometry' began to expand with the theory of dynamic shapes as the fulcrum. I believe you are also familiar with the fact that in the proof of the Weil conjecture in the case of curves, the Jacobian of the curve was introduced and used as a first-order cohomology.

Abstraction replaces…”

"Here I introduce the affine cluster shape. First, assuming that the ideal I∈ k [x1,?,xn] is given, the first affine cluster can be obtained: V (I)={ a∈ k n : f ( a )=

0,?f……”

"...We then introduce the linear subspace with co-dimension equal to 1 in the n-dimensional Euclidean space, that is, the hyperplane, and we can get the convex function f (ax (1-a)y) ≤ af (x) (1-a

)f(y)……”

Qin Ke writes faster and faster. The space on the whiteboard is often filled up within a few minutes, and then he erases it all and writes another calculation again.

He knew that the top mathematicians who could sit here and listen to his explanations would definitely be able to keep up with the rhythm of his thinking.

Qin Ke kept talking for nearly 50 minutes. Qin Xiaoke, who helped carry the food to the dining room, came over and looked around three times. Only then did Qin Ke stop writing and said with a smile:

"I just talked about about a quarter of the core ideas about 'New Geometry'. We will continue to communicate after dinner. If you can stay here for one more week, I believe we will all have a very pleasant and sufficient communication time."

The audience was silent for a while, and Faltings was the first to say: "I have decided to stay for one more week. This 'new geometry' has unlimited potential, and the core of algebraic geometry really depends on geometry."

Deligne agreed: "Me too."

Linden Strauss expressed distress: "My nephew got married this weekend and invited me...forget it, I'd better stay. I feel like I won't be able to sleep for the next few months after missing such a wonderful new theory.

Safe.”

Wiles also didn't talk nonsense, just smiled and said: "Then I will bother you for a few more days."

With the help of these four top mathematicians, Qin Ke simply couldn't ask for more. He said happily: "Then I won't rush to finish the 'new geometry' tonight. I will explain it in detail tomorrow. Come on,

Come and sit down first, last night’s social banquet is not counted, this meal is my blessing for you.”

…

At around ten o'clock in the evening, Qin Ke returned to the bedroom after taking a shower and saw that Ning Qingyun had returned from feeding the two babies. She was holding her white chin and looking at the moon outside the window in trance.

"What are you thinking about?" Qin Ke went over and hugged his soft-smelling soft jade wife from behind.

Ning Qingyun turned around, smiled sweetly, and rubbed Qin Ke's chest with her face as smooth as top-grade white porcelain: "I was just thinking, these top mathematicians are so powerful, and then I thought, I am actually in college

I can keep up with their rhythm most of the time, and I find it incredible. Qin Xiaoke, thank you. Without you, I would never have reached the level I am today."

Xiao Baicai's voice was so sweet that Qin Ke couldn't help but hug her tightly and said with a smile: "How can it be so exaggerated? Your talent and hard work are not inferior to anyone else, even if you don't..."

"No, without you, it would be impossible for me to reach the level of mathematics I am today." Ning Qingyun interrupted Qin Ke with a little stubbornness: "Actually, they don't know that your greatest strength is not just in mathematics.

His ability to teach people is truly the best in the world."

At this point, she pursed her lips playfully and chuckled: "Speaking of which, I haven't called you 'Teacher Qin' yet. Now let's call you 'Hello, Teacher Qin'."

Ning Qingyun knows better than anyone how great her husband is - although she doesn't show it at ordinary times, she admires her husband very much in her heart.

She really believes that she can reach the level she is today, and two-thirds of the credit must be attributed to Qin Ke's teachings, followed by the guidance of famous teachers such as Teacher Wang Heng, Tian Jianlan, Jiang Weixian and her own efforts.

In order for her to always follow him and be his "second place", Qin Ke has been guiding her in mathematics since she was a freshman.

In the first half of the project, she was basically learning from Qin Ke. Moreover, Qin Ke's teaching methods were particularly suitable for her, which made her think very clearly when listening to lectures. Not only could she easily and fully grasp what Qin Ke taught her,

The content can be remembered firmly and almost never forgotten. She can also draw inferences from one instance and fully integrate it into her own knowledge system. This allowed her to keep up with Qin Ke in the second half of the research and contributed to the research of the two.

Make your own contribution to the project.

If she relied solely on her own efforts, she would never be able to reach her current heights, let alone discuss the most profound mathematical topics with top geniuses like Edward Witten and Tao Zhexuan.
Chapter completed!