After asking his partners for their opinions, Lu Zhou's thesis on the Beilinson-Bloch conjecture was published in Future Mathematics.
While the thesis was being reviewed, the relevant preprint was posted on arXiv.
Although the Beilinson-Bloch conjecture was not as famous as the Riemann conjecture or Goldbach's conjecture, it was able to connect the higher-order K-group of the elliptic curve E to the algebraic and analytic invariants of the number field F and elliptic curve E. This gave it an extraordinary status in the field of algebraic geometry and number theory.
Algebraic geometry was the most influential branch in the field of pure mathematics. As soon as this preprint was posted, it immediately attracted a considerable amount of attention.
It wasn't just because of the Beilinson-Bloch conjecture itself.
It was also because the person who solved this problem was Professor Lu, who announced the proof of the Riemann conjecture at this year's International Congress of Mathematicians …
Princeton Institute for Advanced Study.
First-floor coffee shop.
Witten was sitting by the window and drinking coffee. He was chatting with Professor Deligné, who was holding a printed paper in his hand.
"The Lunar Hadron Collider has been completed. Apparently, the first experiment will start in December. I guess I'll have to go on a long trip."
Deligne asked casually, "Oh, it seems that there's hope for your theory to be verified?"
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 good news. We can reveal the secrets of the microscopic world and the universe we live in … Speaking of which, what are you looking at? "
Deligne noticed that Witten was looking at the paper in his hand curiously. He pushed the glasses on the bridge of his nose and suddenly smiled.
"The proof of the Beilinson-Bloch conjecture … It seems that their research has made progress."
Witten: "Whose research are you talking about?"
"Lu Zhou and his Grand Unification of Algebra and Geometry."
When Professor Witten heard this shocking proposition, he was stunned for a moment. He spoke after a while.
"This is too exaggerated … When did he start researching this topic?"
As a physicist who had won the Fields Prize, he knew better than many mathematicians what it meant to complete this research project.
The old methods will be unified.
Just like when analytic geometry was first invented, people used Cartesian coordinates to combine geometric and algebraic problems for the first time, which directly led to the development of astronomy, physics, navigation, engineering, and other sciences and technologies in the sixteenth century.
Mathematics would enter a new era.
"After solving the Riemann's conjecture, or maybe even before researching the Riemann's conjecture …"
Professor Deligné flipped the paper in his hand and said, "Actually, it's not just him, my supervisor and I, anyone in the field of algebraic geometry has thought about this question. Is there an elegant and beautiful mathematical method that can transform algebraic and geometric problems? If this succeeds, even if it only proves that this path is feasible, we will be able to benefit greatly from it. "
After a long silence, Professor Witten sighed softly and spoke in a joking tone.
"It seems that I can't keep up with this era."
Deligné: "It's not a big deal, it's just that you haven't been paying attention. I was surprised when I first heard that he had started researching this topic. Especially now, he has actually made some in-progress results and even tricked Faltings from Germany. As far as I know, after two thousand years, he rarely leaves the Max Planck Institute to visit other places. "
Witten didn't care much about Faltings. He looked at him and asked the question he was most concerned about.
"Do you think he can succeed?"
"In my opinion, it's just a matter of time." Deligné pushed the glasses on the bridge of his nose with his skinny index finger. He thought for a while and said, "Maybe it's an empiricism problem, but I always feel that there should be no problem in this world that he can't solve."
It seemed that this statement was not accurate enough. After a while, he added another sentence.
"If this problem really belongs to this era and there is a solution."
"It seems that you have a high opinion of him." Witten smiled and said, "Then let's make a bet. Do you think he will solve this problem before or after the first Lunar Hadron Collider experiment?"
Deligné paused for a second. He didn't expect his old friend to ask such a strange question.
He frowned and thought for a while, but soon, his eyebrows relaxed.
"… If the first experiment is in December, I think it should be after."
After all, there were less than two months left until December.
Even though they had made significant progress, it was too difficult to solve this problem in two months.
Witten: "Then I'll bet before then."
Professor Deligné raised his eyebrows.
"Are you sure?"
Professor Witten smiled and said, "Why not? I have a feeling that he will give us a surprise. "
If the Grand Unified Theory of Algebra and Geometry could be completed, not only would it have a huge impact on mathematics, but it would also have a huge impact on physics.
Whether it was condensed matter physics or particle physics, the unification of numbers and shapes in an abstract sense would help physicists discover many things that were previously difficult for them to understand.
It was hard to say whether or not they could create a new physics theory, but they would definitely create new methods.
And these new methods could be used to solve the "old" problems that they couldn't solve before.
Deligne gave a rare smile and asked in a teasing tone.
"Then what do you think we should bet on?"
"I remember that Lu Zhou's graduation thesis is with you, the one about Goldbach's conjecture." Professor Witten smiled and said, "Last time I went to the Firestone Library to borrow his research on the 750 GeV energy zone, I flipped through his past research results. However, I couldn't find the one about the Goldbach-Lu conjecture."
With a subtle expression on his face, Deligne coughed and said expressionlessly.
"You're about to enter the coffin, and you're still thinking about my collection … So, what do you plan on using as a bet?"
Witten: "What about the M-theory manuscript?"
Professor Deligne glanced at him and said rudely, "Using something that might prove to be wrong one day as a bet, do you have the nerve to do so?"
"But it might also be the ultimate theory that explains the origin of the universe …"
Witten looked at Professor Deligné and sighed. He had a helpless expression on his face and finally gave up arguing.
"Okay then, let's change the topic … When I was cleaning up my room a while ago, I found a lot of notes that I made when I was researching topology. There are probably some useful things in there that I didn't have time to organize. In short, it's about ten quantum physics textbooks."
Topology was probably Witten's area of expertise.
One of the main reasons why he was able to win the 1990 Nobel Prize was because of his research on low-dimensional topological structures, which led to the derivation of quantum invariants.
Sir Atiyah once said that his achievements in mathematics were better than many scholars in the field. His excellent knowledge of physics provided a rich source of inspiration and intuition for mathematics research. There was even a theory that the reason why Sir Atiyah suddenly began to study physics in his later years was largely because of Witten.
Regardless of whether these topology manuscripts were collectible, there was no doubt that they had academic value.
Because of this, Professor Deligné only hesitated for a few seconds before he reached out his right hand.
"Deal!"
(I recommend a good urban book, "The Perfect Philanthropist". After reading it, your whole body is filled with positive energy. Your legs don't hurt anymore, your waist doesn't hurt anymore, and you can even help your grandmother walk.)
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