Chapter 921 Use new geometry to prove the Hodge's conjecture!
There has been some "noisy" in the American academic and scientific research circles recently, and hot news has been breaking out. First, the radical remarks made by Corey Felix, the newly appointed director of the American Meteorological Center, caused huge controversy, and then many American technology giants.
They all expressed "focus" on Xia's recent rise in science and technology.
Of course, the most eye-catching thing is that the Institute for Advanced Study in Princeton suddenly expressed its dissatisfaction with the recent "nonsense" of the National Meteorological Center. It believes that attaching importance to intellectual property rights is the cornerstone of scientific research progress in the United States, and uses moral kidnapping and pressure to force other countries to excel.
For scientists to open up their research results for free or at low prices is not only unreasonable, but also "the most serious provocation and trampling on intellectual property rights and scientific spirit." The Institute for Advanced Study in Princeton firmly opposes and condemns such remarks full of "gangster logic" and
Methods including but not limited to suspending technical cooperation and canceling authorization of research results will be adopted to maintain the order and fairness of scientific research in the United States.
At the end of the statement, the Institute for Advanced Study in Princeton also stated that it would send out invitations to hire Academician Qin Ke and Academician Ning Qingjun from Xia Guo as "tenured professors" of the Institute.
Once this extremely tough statement was released, it immediately caused an uproar in the American academic and scientific research circles.
The Institute for Advanced Study in Princeton has always been regarded by the academic community as a "holy place for theoretical research". It is famous for being a "Platonic research school of pure theoretical research" and has a transcendent status in the academic world.
It is committed to becoming a research institution where top scholars in various fields engage in the purest and most cutting-edge research. It is not subject to any teaching tasks, scientific research funds or sponsor pressures, and never gets involved in various disputes. It is usually very low-key, at most in the research institute.
When internal scientists win awards and achieve outstanding results, they just send out announcements.
This is the first time that we have publicly spoken out like this to condemn the extreme remarks made by certain people!
Although the Institute for Advanced Study did not clearly say who this statement was directed at, anyone with a discerning eye could see that the Institute for Advanced Study was extremely dissatisfied with Corey Felix, director of the National Meteorological Center, and did not hesitate.
They stood firmly on the side of Academician Qin Ke and his wife from Xia State to support them.
The so-called "tenured professor" is not a big deal, especially the "tenured professor" at the Institute for Advanced Study in Princeton. It is a special honor that can only be awarded to scholars who have made outstanding academic achievements and made outstanding contributions.
After appointment, the employment period can be extended until retirement. During this period, they are not subject to various periodic teaching and scientific research workload assessments by the institute, and there is no pressure to be dismissed. At the same time, they also enjoy the tenure-track professor allowance issued by the institute.
Such a "tenured professor" spot is extremely rare. Let's see who are the "tenured professors" of the Institute for Advanced Study in Princeton? - Albert Einstein, the greatest physicist in modern times, "the father of computers, game
John von Neumann, the "Father of Morse Code", Samuel Morse, the "Father of Morse Code", and Mr. Qiu, the great master of mathematics currently in Xia State!
How many American scientists want to enter the Institute for Advanced Study in Princeton to engage in research work, let alone be hired as a "tenured professor".
I don’t know how many jealousies this statement has upset. It has even aroused greater controversy than Director Corey Felix’s radical remarks. Some people think that the Institute for Advanced Study in Princeton is a “snatcher” in the American scientific research community, and some think it is.
Some defenders who adhere to scientific ethics also think that he is "meddling in other people's business".
Soon the media revealed that "Gerd Faltings, Edward Witten, Pierre Deligne, Elon Lindenstrauss" and other current or former researchers at the Institute for Advanced Study in Princeton
The famous mathematician is still "stuck" in Xia State, assisting the Xia State mathematician Qin Ke and his wife in their research free of charge.
This has caused great controversy, and Peter Goddard, the dean of the Institute for Advanced Study in Princeton, has also been pushed to the forefront.
…
In the United States, in the office of the dean of the Institute for Advanced Study in Princeton, Mr. Peter Goddard was standing with his hands clasped behind his hands, looking at the moonlight outside the window.
The moon is bright and the stars are sparse. Tomorrow it will be "good weather" with clear skies, and then the day after tomorrow, and the day after tomorrow...it will be such "good weather" for the next three months, according to the predictions of the two academicians Xia Guo Qin Ke and Ning Qingyun
, this summer throughout the northern hemisphere will be painfully sunny, and the accompanying high temperatures and drought disasters will be even worse than last year.
It's only early June, but the high temperature and heat wave have begun to hit. At least at this time, when you open the windows, what hits your face is not the cool night breeze, but the irritating and sultry summer breeze.
Secretary Cecil Carlo quietly came in and replaced Mr. Peter Goddard with freshly brewed coffee.
In fact, the dean would have gone home long ago at this time. The Institute for Advanced Study in Princeton does not provide the so-called overtime culture and believes that work and life should be separated. However, Mr. Peter Goddard has been under a lot of pressure recently and always has a lot to think about.
When reporters who were interviewing him came to see him, Mr. Peter Goddard was so annoyed that he simply stayed in a quieter office and often did not leave until late at night.
Of course Cecil Carlo knew this. After changing the coffee, he looked at the dean's hunched figure and felt uncomfortable. He didn't know why the dean discussed it with the committee members and finally made the announcement like that
The decision of the statement is inconsistent with the tradition of the institute, and it has indeed brought a lot of trouble to the institute and even the dean himself.
He whispered: "Dean, this is freshly ground coffee. The taste will deteriorate if it is kept for a long time."
"Thank you." Mr. Peter Goddard closed the window, walked over, picked up the coffee and took a sip. His gray eyebrows relaxed a little, and he smiled and said: "Yes, Cecil, the coffee you brewed is still the same.
Delicious.”
Seeing the somewhat lonely figure of the dean, the gray hair, and the deep wrinkles on his forehead, Cecil Carlo's nose felt sour, and he couldn't help but persuade: "Dean, many media are talking more and more these days.
It’s ugly, should we call back Mr. Faltings, Mr. Deligne, etc. first?”
Old Mr. Peter Goddard shook his head. Of course he knew how to do the best thing to protect his reputation, but now that he had made a decision, he would not regret it.
"Let them stay in Xia Kingdom, just away from this whirlpool of right and wrong." The old gentleman said softly. Seeing that Cecil Carlo was hesitant to speak, he couldn't help but smile: "What, Cecil, you still want to say
What?"
"Dean...is it really meaningful for our institute to issue such a statement? I heard that the two young academicians of Xia Guo never accepted appointments from foreign research institutions, and they have never stayed in our institute.
…”
Cecil Carlo actually didn't agree with the court's decision.
Science has no borders, but scientists have national borders. Every scientist will subconsciously safeguard the interests of his own country. This is beyond reproach, so even if the remarks made by Corey Felix, the newly appointed director of the National Meteorological Center, are extreme and "very
Robber", but at most the scientific research community in the United States does not agree with it and refutes his views, but they do not hate him as a person himself, because Corey Felix's remarks are essentially fighting for the rights and interests of the United States.
On the contrary, the "justice" insisted on by the Institute for Advanced Study in Princeton has harmed the interests of the United States to some extent, so it has caused an uproar from all walks of life.
Peter Goddard put down his coffee cup and looked at Cecil Caro.
The old gentleman's eyes were deep and deep, and the latter unconsciously suppressed his voice.
"You... are still a bit young. Like the two young academicians from Xia Guo who have unlimited prospects and potential and have created countless miracles, you can't find a third one in the whole world. For such outstanding scientists, any
It is foolish to be hostile, confrontational or even indifferent to them. Only becoming friends and companions with them is the most correct thing. This is true for our institute and our country."
The old man's waist was somewhat stooped, but when he said this, his voice was extremely firm: "Persevere in doing the right thing, make the right voice, and gain a cherished friendship, why don't we?
We need to let them know that although there are stupid unfriendly people like Corey Felix in the academic and scientific research community in the United States, there are also friendly scholars like us who recognize them and uphold justice. Only then will they be able to communicate with them in the future.
Our institutes and our countries should cooperate in scientific research instead of becoming further and further apart from each other."
There are things Peter Goddard did not say.
In the past ten years, Princeton’s Institute for Advanced Study has actually lost some momentum in the international mathematics community. The most recent professors and researchers won the Fields Medal more than ten years ago, when Elon Lindenstrauss won it.
That time (Manuel Bhargava won the Fields Medal in 2014, but Manuel Bhargava was a professor at Princeton University, not a professor or researcher at the Institute for Advanced Study).
This is certainly related to the fact that the Institute for Advanced Study in Princeton has not deliberately built momentum to pursue the Fields Medal in recent years, but the more important reason is that the attractiveness of the Institute for Advanced Study in Princeton is declining, and there is even a certain talent gap. There is no one among the younger generation.
To find mathematicians who can stand up to the occasion, the best young mathematicians who graduated from Princeton University were basically poached by other universities with high salaries and benefits, such as "Tao Zhexuan", the most famous representative of the Mesozoic era.
Under such a situation, in more than ten or twenty years, the only remaining older generation of mathematics masters will pass away one after another, and I am afraid that the Institute for Advanced Study in Princeton will inevitably decline.
This is why Peter Goddard, as the dean of the Institute for Advanced Study in Princeton, decided to take advantage of this opportunity to strengthen cooperation with outstanding mathematicians like Qin Ke and Ning Qingjun who will lead the international mathematics community in the next few decades to strive for the future.
One of the important reasons why they hire tenured professors.
Even putting all this aside, Mr. Peter Goddard himself admired the two young Xia mathematicians very much and did not want them to be affected by the extreme remarks of individual people, which would lead to a decline in their evaluation in the United States.
Cecil Carlo nodded with some understanding, but some with some incomprehension. At this moment, the phone on his desk rang.
It was already past ten o'clock in the evening, and someone still called the internal office phone?
Mr. Peter Goddard picked up the microphone unexpectedly and heard the excited voice of Professor Ivy Vigson, a senior researcher at the institute: "Dean, ten minutes ago... Qin from Xia State...
The Ke team has released the latest research results!”
Professor Ivy Vigson is also a great figure in American mathematics. He has won the Abel Prize and the Nevinlin Prize. Even he was so moved that Peter Goddard couldn't help but his heart beat faster and his heart soared.
A wave of expectation comes.
He took a deep breath to calm down and asked: "What research result is it? Meteorology? Physics? Or... mathematics?"
At the end, his voice had a slight vibrato, because he knew very well that Qin Ke was doing research on the unification of mathematics, and Faltings and others did not want to come back because they were distracted by the unification of mathematics project of Qin Ke's team.
Totally attracted.
Professor Ivy Vigson swallowed and moistened his throat before replying: "About seventeen minutes ago, Academician Qin Ke published two papers through the arXiv website. The first one was titled "New Geometry"
Science - Newly expanded exploration and thinking based on algebraic geometry", the second article is... "Using New Geometry to Prove Hodge's Conjecture"!"
This chapter is not over, please click on the next page to continue reading! Old Mr. Peter Goddard held his breath subconsciously. He had never heard of the name "new geometry", but from "new expanded exploration and exploration based on algebraic geometry"
Judging by "thinking", it should be an upgraded version of algebraic geometry. It's hard to say how powerful it is, but he was really shocked by the title of the second paper.
The Hodge conjecture has been proved? And it is using this "new geometry"?
This... this is simply...
The old gentleman propped up his desk with his hands to prevent his feet from weakening due to the violent mood swings, but his mind was filled with shocking emotions such as "Oh my god".
I only heard Professor Ivy Vigson continue to say in a voice that was too excited: "Along with these two papers, there is also a passage from Academician Qin Ke. I will read it out to you."
He cleared his throat:
"Hello everyone, my name is Qin Ke. I haven't published a paper in the mathematics community for almost ten months since August or September last year. I have recently achieved some small initial results, so I decided to write a paper and publish it first.
It is also easy to accept corrections from mathematicians around the world.”
"The first of these two papers is about 'new geometry'. The so-called 'new geometry' is based on Mr. Grothendieck's algebraic geometry theory, which has been greatly expanded and deepened to realize the algebraic
The complete unification of the three major disciplines of geometry, topology, and mathematical analysis within the same theoretical framework, and the integration of more than a dozen sub-disciplines such as number theory, probability theory, and group theory, can be regarded as laying the foundation for a unified framework of mathematics in the future."
"The results of this paper were mainly completed by a team of four people including me and my wife Ning Qingjun, as well as Edward Witten and Tao Zhexuan. In the final critical stage of the formation of 'new geometry',
I have received strong support from mathematicians such as Faltings, Deligne, Lindenstrauss and Mr. Qiu who are currently or have conducted research at the Institute for Advanced Study in Princeton. I would like to express my most solemn thanks to them.
Thanks to the Institute for Advanced Study in Princeton."
"The second paper is the application of 'new geometry' to prove the Hodge conjecture, a famous problem in algebraic geometry, in order to verify the effectiveness of 'new geometry'. This paper was mainly solved by my wife Ning Qingyun and I.
Yes, but we are also grateful to other partners for their strong support in the creation process of 'New Geometry'. Without 'New Geometry', it would be difficult to prove the Hodge conjecture as easily as it is now."
"Both papers have been submitted and uploaded to arXiv. In addition, both papers have been submitted to Acta Mathematica Sinica."
"Finally, I would like to say a few words. I am honored to hear that the Institute for Advanced Study in Princeton is willing to issue tenured professorships to my wife and I. The Institute for Advanced Study in Princeton is an excellent research institution that upholds justice and puts academics first. Although my wife and I have not been together before.
We have not accepted letters of appointment from foreign research institutions, but if it is the Institute for Advanced Study in Princeton and they allow us to communicate and cooperate remotely in Xia Guo, we will be happy to become a member of the Institute for Advanced Study in Princeton, together with Faltings and Deli
Nietzsche, Edward, Linden-Strauss and other the best mathematical masters continue to engage in mathematical research together."
"Above. Thank you to all countries and all sectors of society for their attention and support to us."
"Qin Ke. Morning of June 12, 20XX."
After listening to Professor Ivy Vigson read this paragraph, which was not too long, but not too short either, Mr. Peter Goddard was stunned for a long time before he could digest the "huge amount of information" in it. He suddenly had the remaining
Chapter completed!