Global Mathematicians at Every Institution and Department Got Busy
With the approval of the editorial board, the Journal of Mathematics published a special issue in both Chinese and English entitled "Strong BSD Conjecture Proof" with lightning speed.
Around the world, many mathematical teams have taken on the task of interpreting the Strong BSD Conjecture Proof.
There is a slight difference between explanation and verification.
The team first assumed that the "Strong BSD Conjecture Proof" was true. Based on this academic motivation, they used various mathematical and Computer Science methods to prove the "Strong BSD Conjecture Proof" and provided reasonable explanations. Their explanation report was extremely detailed and could even form a new paper.
The verification team primarily provides conclusions, either valid or invalid.
The criteria for determining whether an argument is valid or invalid are similar to those of a paper reviewer; they only provide a page or two, or even just a few sentences, of their decision.
The establishment faction within the verification team shares similar academic motivations with the explanation team: they first acknowledge the validity of the <Strong BSD Conjecture Proof>, and then proceed to verify it. The difference lies in their approach: they ultimately provide a "verification conclusion," while the explanation team provides an "explanation report." The conclusion is concise, while the report is typically detailed.
The refutationists on the verification team did the opposite; they first assumed that the "Strong BSD Conjecture Proof" was false, and then tried to refute it.
Whether it's the explanation team or the verification team, their explanation and verification work is almost entirely voluntary, and they don't receive any compensation.
Compensation is a minor matter; proving or disproving the Strong BSD Conjecture Proof is what the explanation and verification teams are most interested in.
Oxford University, United Kingdom.
Dr. Adama and his academic partner John Green are studying the English version of the * Journal of Mathematics *.
This issue of the * Journal of Mathematics * contains only one article, "Strong BSD Conjecture Proof," authored by Ou Ye, Zhao Tian, Yun Yimiao, and Zeng Han.
Apart from the first author Ou Ye, the other three authors were all relatively unknown figures.
The acknowledgments at the end of this paper are filled with important figures.
When others read a paper, they usually start with the abstract and keywords.
Dr. Adama read Ou Ye's paper, the first thing he looked at was the references.
The references listed by Ou Ye are:
[1] Johann Carl Friedrich Gauss, Gauss Notebooks Vol. 15 (translated by Philipp Klein)...
[2]Gross B., Zagier D,<Gross-Zagier equation>...
Euler 3] Rubin K., <A Supplementary Proof of Kolyvagin's Euler System>...
[22] Gong Changwei, <Analysis of Rational Points in Elliptic Curve in the BSD Conjecture>...
With a total of 22 citations, from Gauss to Gong Changwei, Ou Ye seems to have connected two centuries of History of Mathematics.
After reviewing the cited literature, Dr. Adama was nearly driven mad.
Ou Ye did not cite Dr. Adama's paper published in the Annals of Mathematics.
John Green fell into deep thought; he had assumed that Ou Ye would cite Hadamard's paper to avoid accusations of plagiarism.
Unexpectedly, Ou Ye didn't do that at all.
The idea embodied in Ou Ye's paper is that my writing of this paper has absolutely nothing to do with your Oxford team.
"Plagiarist, shameless scoundrel, bastard!" Hadamard roared furiously. "Without my academic contributions, you couldn't have published this paper!"
John Green was more rational. "Hadamard, calm down. Perhaps Ou Ye hadn't read your paper before completing rank 0 and 1? In other words, within the same timeframe, Ou Ye had a similar inspiration to yours. I watched Shen Qi's interview; that's what he said."
Hadamard wouldn't listen to reason. "Liars, their whole family are liars!"
"Hadamard, please wake up! Do you have any proof that they're frauds?"
"Do they have evidence to prove they didn't plagiarize my paper?"
"Didn't Shen Qi say he didn't plagiarize?"
"He says he didn't plagiarize, so he doesn't?"
"Nonsense, how could someone like him lie?"
"Hahahaha, John, are you out of your mind? Hahahaha, John, you idiot! Hahahaha, John, hahahaha, I'm laughing so hard..."
"Oh, for God's sake, Hadamard, please stop!" John Green sighed. It's over. Hadamard has gone mad. Hadamard has been driven insane by a woman he's never met, from the far East.
"The BSD Conjecture was proposed by us British people. If I, a British person, can accept reality, Hadamard, why are you, an Indian, so pathetic?"
"Hahahaha... She must have copied me! She can't possibly prove the BSD Conjecture! I'm going to overturn her solution! Hahahaha, overturn it, right now!"
Columbia University, New York, USA.
Ou Ye's master's supervisor, Gong Changwei, along with his current students, began working on the explanation of the "Strong BSD Conjecture Proof".
In her paper, Ou Ye expressed her gratitude to Gong Changwei for his guidance and stated that Gong Changwei's research achievements greatly helped her complete the Strong BSD Conjecture Proof.
Ou Ye cited Gong Changwei's 2014 paper, using a method unique to mathematicians to express her gratitude to Gong Changwei for his mentorship.
Gong Changwei, born in the 1980s, has passed the age of forty. The once carefree young man now shows signs of aging.
After reading the 405-page "Strong BSD Conjecture Proof," Gong Changwei felt excited, gratified, and a little disappointed.
The excitement stems from the fact that Chinese mathematicians were the first to provide a complete proof of the BSD Conjecture.
Regardless of whether this plan is feasible, she has at least made a world debut.
I am gratified because she has not forgotten her teacher's kindness; she is a sensible and good student.
The disappointment stems from the fact that Gong Changwei is over 40 years old, and he has no chance of winning the Fields Medal unless a miracle occurs.
Wipe away your tears, don't panic, at least we still have dreams.
"Professor Gong, why are you crying?" a white doctoral student asked.
"Oh, it's nothing, just an eye infection. Let's continue. The explanation of the <Strong BSD Conjecture Proof> is quite complex, almost as much work as writing a new BSD Conjecture. My approach is..."
Clay Mathematics Institute, Massachusetts.
The Oxford University Hadamard team's groundbreaking Strong BSD Conjecture Proof, and the Columbia University Gong Changwei team's explanation of the validity of the Strong BSD Conjecture Proof, both involved core members who were more or less influenced by personal feelings when conducting their work.
The people at the Clay Mathematics Institute are different; they are a completely neutral group.
The BSD Conjecture was proposed by British mathematician Birch and Swinnerton-Dyer, and was designated as one of the Millennium Prize Problem by a wealthy American amateur mathematician Mr. Clay.
The Clay Mathematics Institute is a mathematics and physics research institution with many top scholars.
If we're talking about things of interest, the Clay Mathematics Institute is probably most interested in the Strong BSD Conjecture Proof.
The institute's top scholars spontaneously formed a powerful mathematical team. Their working method was to first judge, based on intuition, whether the Strong BSD Conjecture Proof was true.
If true, then the interpretation process will continue.
If this does not work, please notify the author Ou Ye. We regret to inform you, but please continue your efforts.
Eleven top mathematicians from around the world sat in a circle. The man sitting in the Boss seat had hair like a bird's nest, eyebrows like crescent moons, and behind his thick glasses were a pair of deep, wise black eyes.
The ringleader is Manjul Bhargava, an Indian citizen with dual US/Canadian citizenship.
Brother Bhargava was the 2014 Fields Medal winner for developing powerful new methods in the geometry of numbers and for using these methods to calculate the ring number of small ranks and estimate the bounds of the mean rank of Elliptic Curve.
With his Fields Medal -winning title and his highly relevant expertise, Bhargava was the obvious choice to become the leader of the verification/explanation group for the "Strong BSD Conjecture Proof".
Bhargava stated, "First intuition is the most wonderful and also the most accurate, as has been mathematically proven. So, everyone, please raise your hand if you think the <Strong BSD Conjecture Proof> is true."
Brush!
Swish!
Five people raised their hands.
"It seems we have some disagreements." Bhargava smiled, then raised his arm. "My intuition tells me that the Strong BSD Conjecture Proof is true, so six votes to five, let's move on to the explanation phase of the Strong BSD Conjecture Proof."
Mathematicians from all over the world have sprung into action.
The verification and explanation of the Strong BSD Conjecture Proof is not something that can be accomplished overnight; according to international practice, it can take anywhere from a few months to several years.
Ou Ye and Shen Qi are very familiar with the workflow in the Mathematics Community. For the couple, their work on the BSD Conjecture is already complete.
Shen Qi held Ou Ye's hand as they strolled in the garden below the hospital building.
"I feel your body is getting better and better." Shen Qi carefully felt and touched her with his hands. His intuition and objective clinical data told him that the new drug he invented was having a very good effect on Ou Ye.
Ou Ye was in a very good mood. "Yes, I know my body best, and I'm definitely much better. The Phase I clinical trial is about to end, and I can finally go home."
As the sun sets, its rays bathe the young couple in a golden glow.
"Little Yezi, look at that person, he looks like a dog."
"Hmm, haha, it does look quite similar... Oh dear, he's my fellow patient! His condition looks very serious!"