I really just want to be a scholar

Chapter 917 Incredible new geometry!
Qin Ke couldn't help but be happy when he heard Ning Qingyun's title of "Teacher Qin". He kissed Ning Qingyun and said happily:
"I like to hear the name 'Teacher Qin', especially when you call it "Teacher Qin". It's very interesting. Speaking of which, no one calls me "Teacher Qin". I became "Professor Qin" as soon as I graduated, and then everyone called me "Teacher Qin". Call me 'Academician Qin'."

It has to be said that when Ning Qingyun, who looks pure and beautiful and still looks like a girl of [-] or [-], calls out the three words "Teacher Qin" in a soft and playful voice, it is particularly easy to make people feel elated.

Even though Qin Ke is already very familiar with his wife.

"Well, let me think about it, if you put on the student sailor uniform of the previous cosplay and call me like this, it will definitely be more perfect."

Ning Qingyun blushed, bit her red lips and said, "Can you stop thinking about these messy things all day long..." However, she didn't resist in her heart, and even thought about finding the sailor suit later. Put on.

Now she has slowly learned to let go of her shyness and cooperate with Qin Ke to enjoy some special fun between husband and wife.

Qin Ke is so smart. Hearing that Ning Qingyun's tone didn't mean to refuse, he couldn't help but feel itchy in his heart.But he still had to say some important things first.

"Honey, let's talk about what happened just now. Although I think it's pretty good for you to call me 'Teacher Qin', you should be more confident in yourself. I like to see you confident and proud. You can have the strength you have today, My teaching role is not important, at least not the most important. Your own talent and hard work are the most important."

Qin Ke indeed thinks so.

He only accounts for one-half of the credit for teaching Ning Qingyun. Ning Qingyun herself is extremely talented, especially a few years ago, when she took the opportunity to train hard for the Mathematical Olympiad, she inherited the excellent skills from her two academician parents. His talent in science has been fully stimulated. Even if he is slightly inferior to top geniuses like Tao Zhexuan, he can definitely be called a mathematical genius in the traditional sense.

Now when it comes to mathematical talent, Ning Qingyun is at least in the top ten among outstanding peers in the country.

Moreover, she worked very hard, and received unreserved teaching and guidance from mathematics masters such as Tian Jianlan, Wang Heng, and Ulenbeck. With her profound mathematical foundation, advanced mathematical thinking, and broad mathematical vision, she is the only one among the younger generation. No one can match him except Qin Ke.

In addition, Qin Ke used the system function of "thinking resonance" to systematically teach her a huge amount of knowledge with the highest efficiency. At least in the sub-subjects such as number theory and mathematical analysis that Ning Qingyun is best at, she mastered it. The amount of knowledge far exceeds that of ordinary senior university mathematics professors.

This is the main reason why Ning Qingyun was able to win the Fields Medal, the Nobel Prize in Physics and the Wolf Prize.

There may be a certain factor in this that Qin Ke "led her to fly", but in the final analysis, she has the qualifications and strength to win awards in related fields.During the past nine months of joint cooperation on the topic of detoxification of radioactive elements, Edward and Lao Tao highly recognized Ning Qingyun's performance and role, which is the best proof.

Compared with Ning Qingyun who looked at him with admiration, Qin Ke wanted to see Ning Qingyun who was full of energy and confidence.

Ning Qingyun saw Qin Ke's serious look and couldn't help laughing: "I know, I have confidence in myself. After all, I am the first student taught by 'Teacher Qin'. How can I I won’t belittle myself, but I can’t be proud in front of you.”

However, Qin Ke's care and care for her inner spirit was very useful to her.She bit her red lips lightly, put her little face against Qin Ke's and rubbed it, like a coquettish cat.

The girl's skin is as delicate and soft as silk, and such intimate contact makes people feel more comfortable than kissing.

Then she leaned close to Qin Ke's ear and whispered: "I...I'm going to find a change of clothes." After that, she got up and walked to the big closet.

Qin Ke rubbed his nose itchingly and closed the curtains, blocking the bright and curious moon from the window.

……

Qing's sister-in-law, the life assistant of the garden villa, oh, she can also be called a nanny, has had a lot more workload recently, and several guests have come to stay at home, which has increased the pressure on her to cook. But when Ning Qingyun... When she asked her sheepishly if she needed to find someone else to reduce her workload, Mrs. Qing shook her head repeatedly. She was afraid that someone would take her job.

Being able to work as a nanny for two great scientists and take care of their daily life is the best life for Mrs. Qing.

Not to mention the high salary, the daily workload is not too big. The two nanny aunts who take care of the children will also help clean the house and prepare baby meals for the two babies. Qing’s wife only needs to prepare three meals a day. .

The key is that the two academicians and Miss Qin Er have very good personalities and are always kind to her. They are also quite good to her daughter Yanyan and often buy toys for the little girl.Just thinking that her daughter might be able to study under the guidance of two academicians made Mrs. Qing even more enthusiastic about her work.

But she was also a little anxious, because the regular guests at the two academicians' homes were all foreigners, and their daily conversations were all in English. For a rural woman like her who didn't understand English, communication could only rely on gestures and guesswork.

Recently, four more great foreign mathematicians have arrived. Academician Qin and Academician Ning have less time to go out during the day. When they have time, they come back and discuss non-stop with these mathematicians in English.

Mrs. Qing had no idea what they were discussing, but she also knew that it was extremely important research, so whenever this happened, she never dared to approach, and she never let her daughter Yanyan get close, for fear of disturbing these big people. Mathematicians.

Qin Xiaoke is not afraid. As long as she is at home, she will be responsible for making black tea or coffee for everyone. Then she will set up a small drawing board and sit in the corner of the hall to practice sketching. Naturally, the drawings are like this. A group of mathematicians are discussing The interesting scene was added to the comic "My Brother and Sister-in-law's Scientific Research Years and Warm Daily Life" she conceived...

Today is the same, it happens to be Sunday, the fourth day that Falstin and others have stayed.

Qin Xiaoke originally made tea and coffee for everyone and then went to the second floor to coax her two little nieces and nephews. However, after the two little guys fell asleep, she became bored again, so she ran down with her easel and continued to collect. Her comic material.

Whenever this happens, she will find it interesting to observe everyone's expressions.

My elder brother is often the center of attention. He and his sister-in-law Ning Qingyun sit together. Most of the people opposite are gray-haired old gentlemen. The only relatively young ones are Professor Tao and Professor Linden Strauss.However, whenever my brother and sister-in-law spoke, the others would listen attentively, and they did not look down upon them in the slightest because they were the youngest. On the contrary, whenever my brother said a lot of mathematical terms that they did not understand at all, Then when you stand up and write on the big whiteboard, other people’s expressions will be wonderful.

There are contemplations, doubts, surprises, and exclamations. For example, Professor Tao often slaps his thigh in annoyance and murmurs: "Yeah, why didn't I think I could start in this direction..." kind.

Sometimes the debates between several people would become more intense, and everyone would take turns talking and writing with an erasable pen to explain their thoughts.That big whiteboard is often erased and written on hundreds of times a day.

Mr. Witten's big pie face is the most distinctive, Mr. Faltings's expression is the most serious, Mr. Wiles's expression is the most calm, Mr. Deligne's long beard is the most interesting, and Mr. Lindenstrau Professor Si’s smile was the most cordial, and Professor Tao’s expression changed the most.

These facial features, micro-expressions and movements will be quickly recorded by Qin Xiaoke using sketching techniques.

Of course, what she drew most was her brother's serious and confident profile, and her sister-in-law's tender eyes as she stared at her brother.

Whenever this happens, Qin Xiaoke will think that his sister-in-law really loves her brother very much.

As the saying goes, the ignorant are fearless. Qin Xiaoke had the leisure to watch and describe such scenes as interesting things because she did not understand such advanced mathematics at all.

If other mathematicians were present, they would probably be too shocked to speak, and then quickly take out the video recorder to record such a great scene that is destined to go down in history.

Because the discussion being carried out by the nine top mathematicians present has penetrated into a new area that has never been explored in algebraic geometry.

In the late 20s, Grothendieck generalized the classic algebraic variety theory into the more widely applicable general theory, and established a solid logical foundation for the entire algebraic geometry using general and cohomology languages. and completely rewrote algebraic geometry.

Its biggest advantage is that it uses schematic theory to build algebraic geometry into a logical reasoning system that perfectly unifies geometry, algebra, number theory and analysis to a large extent, and pioneers the idea of ​​"using polynomials to study geometry and using geometric ideas to study A new era of polynomials.

Although the National School of Lithology with Grothendieck as its core has achieved world-renowned great achievements in theoretical research on algebraic geometry, it still has many limitations.

For example, their research objects mainly focus on algebraic varieties in affine space and projective space, and their research on other abstract generalizations of algebraic varieties such as scheme and stack is not in-depth; for example, although they use modern languages ​​​​such as schematics and cohomology to Further discussion of the significance of the basic concept of algebraic varieties in algebraic geometry provides a more intuitive geometric concept. However, the space that geometry is most concerned about is not only algebraic varieties, but also manifolds, metric spaces, topological spaces, etc., which they all Didn't study it in depth and couldn't integrate it into their system.

Now the "new geometry" conceived by Qin Ke is a great expansion on the basis of algebraic geometry, going deep into all these sub-disciplines related to geometry, and combining algebra and algebra embodied in algebraic geometry. The geometric interaction way of thinking is vividly displayed.

"This is the 'new geometry' I have conceived so far." Qin Ke stopped writing and spent four days constantly explaining and discussing. He finally explained the "new geometry" he had studied for nine months. It’s pretty rough, and many of the details were finalized in the past few days of brainstorming and repeated discussions.

In fact, Qin Ke wants to propose a broader theoretical framework based on "new geometry", integrating the main results of algebra, analysis, geometry, number theory and topology produced over more than 100 years to form a real "new geometry". "Unification of Mathematics".

However, these projects were larger in volume, and he thought his ideas were not mature enough, so he did not mention them for the time being.

Nevertheless, this new geometry has completely shocked Falstin and others.

"It's incredible..."

No one expected that the "new geometry" proposed by Qin Ke had basically taken shape. Previously, top mathematical geniuses like Grothendieck had spent decades of time and energy failing to break through the limitations of algebraic geometry. This was crossed by the young man in front of me.

Even though they were prepared in advance, the shock they felt during these four days was still huge.

You must know that it took Grothendieck 7 years to write the 7500-page "Fundamentals of Algebraic Geometry". At that time, Deligne proved the Weil conjecture in number theory, and Faltings proved the Model conjecture in number theory. , Wiles proved the famous Fermat's last theorem in number theory, and it can be said that he achieved success only by "patch-like" improvement of Grothendieck's algebraic geometry theory.

They also spent several years on this, but Qin Ke expanded the core content of algebraic geometry three times in nine months!
And after these four days of discussion and communication, Qin Ke would quickly solve almost any problem they thought might be problematic or unclear, and the final result confirmed that Qin Ke's solution was right.

Qin Ke's talent and strength in mathematics once again refreshed their understanding of human limits.

Linden Strausch looked at the last few lines of calculations on the big whiteboard and sighed: "No wonder Edward said that the longer he spends time with you, the more he will feel that you are a god. Now I believe it too, if you hadn't passed by The modified cyborg has a supercomputer in his mind, then you are the real god of mathematics."

Lao Tao spread his hands and said with a smile: "You are finally convinced this time, right? I have been convinced for a long time. In the past, I have always been very confident in my calculation ability and mathematical thinking and logic ability, even if Qin Ke proved Li Mann conjectured and solved the NS equation. I still think that the gap between him and me is not too huge, right? Now... I no longer dare to think so. He and I are the gap between mortals and gods."

Qin Ke raised his hands and surrendered: "Okay, okay, don't praise me anymore. I just want to ask you to express your further opinions on improving this new geometry, especially infinite equations, infinite dimensional geometry, and infinite variables." The direction of the function is of great significance for the subsequent transfer of this topic from mathematics back to the 'string theory' of physics."

Faltings looked around at the crowd and said: "We stayed to hear such wonderful 'new geometry', and we really have to repay it. Let's start our usual Princeton tea party style communication."

Edward Witten, Faltings, Deligne, Elon Lindenstrauss, and Mr. Qiu, who is also present today, are all from the Princeton system, and are more interested in academic exchanges in such a relaxed atmosphere. Familiarity is also more conducive to relaxing your mind and feeling inspired.

A great discussion that is destined to affect the future of the entire mathematical community is unfolding amidst the aroma of black tea and coffee in the afternoon.

　I beg for monthly recommendation votes and Zhang Shuo.There are hundreds of follow-up orders, but no one says anything T_T
　　
　
(End of this chapter)