Chapter 1108: The old method will be unified 1

The partners have been asked for their opinions. As for the paper on Beilinson-Bloch's conjecture, Lu Zhou has published in Future Mathematics as always.
At the same time that the paper entered the review process, related preprints were also hung on Arxiv.
Although the Beilinson-Bloch conjecture is not as famous as the Riemann conjecture or Goldbach conjecture, it can connect the higher-order K-groups of the elliptic curve E to the number field F and the algebra and analytical invariant of the elliptic curve E Meaning, however, has given it an extraordinary position in the fields of algebraic geometry and number theory.
As the branch with the most research and influence in contemporary pure mathematics, algebraic geometry immediately caught a considerable amount of attention as soon as the preprint was hung out.
Not just because of Beilinson-Bloch conjecture.
What's more, it was Professor Lu who proved Riemann's conjecture at this year's International Mathematician Conference to solve this problem ...
Princeton Advanced Institute.
Cafe on the first floor.
Sitting by the window, Witten drinking coffee was chatting with Professor Deligne holding a printed paper.
"The Lunar Hadron Collider has been completed. It is said that the first test will begin in December, and it is estimated that I will be away for a long time by that time."
Deligne asked casually without much concern: "Oh, it looks like your theory is hopefully tested?"
After hearing this, Witten took a sip of coffee and shook his head with a smile.
"It's too far away, but for the standard model, this is a gospel. We can reveal the secrets of the microworld and the universe in which we are ... deeper, what are you looking at?"
Noting the curious look that Witten had thrown into his dissertation, Deligne pushed the glasses on the bridge of his lower nose. He usually had no undulating corners of his mouth and suddenly evoked a rare smile.
"The proof of Beilinson-Bloch's conjecture ... it seems that their research has progressed."
Witten: "Which research do you mean?"
"Lu Zhou, and his great unification of algebra and geometry."
Hearing this amazing proposition, Professor Witten froze a moment, and then said it after a while.
"This is too exaggerated ... when did he start working on this subject?"
As a physicist who has won the Fields Prize, he is probably more aware than many scientists of what this project would mean if completed.
The old method will be unified.
Just as when analytic geometry was first invented, people first combined geometrical problems with algebraic problems through Cartesian coordinates, which directly led to the take-off of a series of science and technology in the sixteenth century, such as astronomy, physics, navigation, engineering and so on.
And mathematics will enter a new era.
"After solving the Riemann conjecture, maybe he started thinking about it before studying the Riemann conjecture ..."
Turning the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my mentor, anyone who has made a good job in the field of algebraic geometry will think about this issue. Is there an elegant and The aesthetically pleasing mathematical method can transform algebraic problems and geometric problems into each other. If this works, we can benefit a lot from it, even if it just proves that this road works. "
After being silent for a while, Professor Witten sighed softly and said in a ridiculous tone.
"It seems I can't keep up with this era."
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when he first heard about it, especially now that he has actually made some staged results, and even The old fellow of Faltings was deceived from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to become a visiting scholar elsewhere. "
Not very concerned about the old fellow of Faltings, Witten watched him seriously and asked what he was most concerned about.
"Do you think he can succeed?"
"Personal opinion, it's only a matter of time," said the thin forefinger, pushing the glasses on the lower bridge of his nose, and Delenez thought for a while. "Maybe it was an empiricism, but I always feel that this world can't be solved without him The problem."
It seemed that this statement was not accurate enough, and after a while, he added another sentence.
"If this question really belongs to this era and is understandable."
"It seems that you have a high opinion of him," Witten said with a smile. "Well, let's make a bet. You think he will solve this problem before the first experiment of the Lunar Hadron Collider. , Or after the first experiment. "
Hearing this, Deligne hesitated a little, and it seemed that he didn't expect his old friend to ask such strange questions.
The expression seemed a bit difficult to choose, and he frowned for a moment, but his frowning fluttered quickly.
"... If the first experiment was in December, I think it should be after."
After all, there are less than two months left in December.
Even if they have made significant progress, it is too difficult to solve this problem within two months.
Witten: "I'll bet before then."
Professor Deligne raised his eyebrows.
"you sure?"
Professor Witten said with a smile, "Why not? I always think he will surprise us."
If the unified theory of algebra and geometry can be completed, it will not only affect mathematics, but also the impact on physics.
Whether it is condensed matter physics or high-energy physics, the unity of numbers and shapes in the abstract sense will help physicists reveal many things that they would otherwise find difficult to understand.
It is difficult to say whether a new physics can be born, but a new method will definitely be born.
These new methods can be used to solve "old" problems that they could not solve.
Deligne smiled a bit out of the corner of his mouth and asked in a ridiculous tone.
"So what do you think is a good bet?"
"I remember the manuscript of Lu Zhou's graduation thesis is here, about the Goldbach conjecture," Professor Witten continued with a smile, "the last time I went to the Shishi Library to borrow his manuscript on 750Gev energy zone research , Temporarily raised the research results of his past, but I did not find the article about Goldbach-Lu theorem, I think it should be here. "
There was a subtle expression on his face, and Deligne gave a cough and said blankly.
"It's almost time to enter the coffin and you still don't forget about my collectibles ... so, in contrast, what are you going to use as a bet?"
Witten: "How about the manuscript on M theory?"
Slanted him ~ EbookFREE.me ~ Prof. Deligne said rudely: "I bet you would bet on something that you don't know would one day prove wrong.
"But it could also be the ultimate theory that explains the roots of the universe ..."
Seeing Professor Deligne's expressionless face, Witten sighed, and made a helpless expression on his face, and finally gave up the argument.
"Well, change it ... When I was tidying the house some time ago, I turned out a lot of notes that I made when I was studying topology, and there might be some things that I didn't have time to sort out, but it was useful. It's as thick as ten quantum physics. "
Topology is probably what Witten excels at.
One of the reasons why he was able to win the Nobel Prize in 1990 was because of his research on low-dimensional topologies, and from this he derived the quantum invariants.
Sir Atiyah once commented that his accomplishments in mathematics have surpassed many scholars who are really engaged in the field, and his excellent knowledge of physics has provided a rich source of inspiration and intuition for the study of mathematics. There is even a saying that Sir Attia suddenly started studying physics in his later years, largely because of Witten.
Regardless of whether the manuscripts of these topological studies are of collectible significance, there is no doubt about their academic value.
It is for this reason that Professor Deligne only hesitated for a few seconds and then stretched out his right hand without saying a word.
"Closing!"
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(I recommend a good city book "Perfect Great Man". After reading it, the whole body is full of positive energy, the legs no longer hurt, the waist is not sour, and the grandmother dares to help.)
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