Chapter 536: Meet the mathematicians and physicists of the world
got a positive answer, Xu Chuan couldn't help but look at Liu Jiaxin again.
This is really unexpected.
Regardless of whether the research on the manuscript paper is correct or not, NP=P is capable of studying it as one of the seven millennial problems, and there is no doubt that this scholar is mathematically capable enough to be called a mathematician.
After all, the study of such top-level conjectures requires a lot of mathematical ability.
Taking a deep breath, Xu Chuan focused his attention on the manuscript paper in his hand.
The large integer factorization algorithm based on the decomposition basis is the first problem in the NP=P conjecture problem.
The full name is: "Does the big positive integer factorization have a polynomial algorithm problem?" ”
This is one of the most critical questions in the NP=P conjecture, second only to graph isomorphism.
If the two problems in P=NP can be solved, then many basic problems related to cryptography and complexity theory can be solved, including the development of artificial intelligence.
The manuscript paper in his hand was turning page by page, and Xu Chuan was engrossed in reading the formulas on it.
Time passed by second, and the office was silent.
He didn't do much research on the P=NP problem, which is a problem that is intertwined in the fields of mathematics and computer science.
His knowledge of computers was limited to being able to use modeling software to complete mathematical models.
What's more, many of the problems in the P=NP conjecture are related to pure number theory, which is his relative weakness in the field of mathematics.
However, for him, even in the weak field of number theory, it is not too difficult to understand these calculations on the manuscript paper in his hand.
As the long time passed little by little, the manuscript paper in his hand was also flipping through the pages one by one, and the interest and curiosity in Xu Chuan's eyes gradually turned into satisfaction and emotion.
To see such a mathematical study, or the original stage of proof ideas, for a person like him, is tantamount to a precious treasure.
I have to say that this senior sister's ability in the field of mathematics is far stronger than he imagined.
On the P=NP conjecture, she has advanced a long distance.
It can even be said that it may not be far from solving the problem of whether large positive integer factorization has a polynomial algorithm.
Of course, this is just a feeling, and the specific actual situation Xu Chuan is not very clear, after all, the P=NP problem is not within the scope of his research.
However, his scientific intuition is often sensitive and accurate.
Seeing him put down the manuscript paper in his hand, Liu Jiaxin, who had been standing opposite, suddenly cast a nervous and expectant gaze.
For the mathematics community, the student standing in front of her today is undoubtedly the first person today.
His evaluation was crucial to the study.
Noticing Liu Jiaxin's gaze, Xu Chuan cast a praising look, and said with a smile: "Awesome, senior sister, I didn't expect you to be so strong in mathematics!" Actually took the NP=P problem forward by such a big step. ”
With his mathematical ability, he can't say that he can fully understand these calculations and equations on the manuscript paper after looking at them, but at least he can understand them roughly.
Hearing Xu Chuan's affirmation, Liu Jiaxin pursed her lips and smiled: "This is just a small question in the NP=P conjecture, and it has not been solved in the most critical place." ”
Xu Chuan thought for a while and said, "I don't know much about the NP=P problem, but in your proof process, I saw an in-depth change in the secondary sieve factorization method.
"You quoted a change in number theory and made it available in a "sieve" format when decomposing each V, which saved a lot of time. ”
"However, factor analysis can only face a comprehensive evaluation, and at the same time there are requirements for the amount and composition of the data, which is its flaw, and may not be able to fully help you solve this problem."
Although he doesn't know NP=P very well, at least Xu Chuan has carefully read and studied the seven millennial problems, and he still knows some basic things.
Liu Jiaxin thought for a while and said, "I have tried various screening methods, and the quadratic factor is the one that can advance the farthest. ”
Xu Chuan shook his head with a smile and said, "In your manuscript paper, I saw your in-depth changes in the secondary sieve factorization method, as well as some innovations, which are all very good things. ”
"If it were for other mathematical conjectures, maybe you'd already have solved it. But for a millennial mathematical conjecture, this breakthrough is far from sufficient. ”
"You should be well aware that there are many scholars who have studied every millennial problem, and everyone has tried all kinds of methods, but so far no one has been able to find the answer."
"I believe that what you lack is not the amount of knowledge, but just a little bit of deeper breakthroughs. Just as I created the 'Algebraic Cluster and Group Mapping Tool' when I first solved the Hodge conjecture, perhaps a new mathematical tool is needed to solve the problem of NP=P. ”
Hearing this, Liu Jiaxin nodded, she has indeed encountered some bottlenecks in the recent research, the factorization method is very useful in the NP=P conjecture, but it is difficult to prove that its lower bound is equal to the upper formula.
She really needed a more effective way to follow in the footsteps of mathematics.
In the office, Xu Chuan and Liu Jiaxin talked a lot about the NP=P conjecture.
In the field of NP=P conjecture, his research is far inferior to that of this senior sister.
However, as a scholar standing at the pinnacle of mathematics, his way of looking at the problem and comprehensiveness, as well as the feasibility of solving the problem, are not comparable to Liu Jiaxin.
On this issue, the two happened to form a complementary relationship.
He proposed some general direction feasibility, and Liu Jiaxin analyzed this road to determine whether it was roughly feasible, and then included it in the follow-up research.
The afternoon passed in such a chat, and when the sun was about to set in the evening, Xu Chuan returned to the villa at the foot of the Purple Mountain.
Originally, he planned to send the paper to make a mathematical model, but in the end he didn't take it out, but sent it to the Xinghai Research Institute for the Information Research Institute to conduct research.
After all, there are many people who have the ability to make this model, but there are not many who have the ability to study the NP=P conjecture.
Not to mention the rest, if the problem of whether the big positive integer factorization has a polynomial algorithm is solved by her, then a Fields Medal should not be able to run away.
This is because this result is of great importance to the P=NP conjecture.
In terms of the status of a single conjecture, it is even comparable to the 'proof of the existence and solution of the solution of the Young-Mills equation' that he issued some time ago.
Historically, only Professor Marianne Mirzahani has won the Fields Medal.
Even if according to the trend of history, another lady named Marina Vyazovska will win the Fields Medal at this year's International Mathematical Congress, and there are still very few female Fields Medal winners.
If she has any hope of winning a Fields Medal, that's something to celebrate.
In late May, Xu Chuan took the high-speed train to the capital.
The High Energy Physics Conference of the Physical Society will be held in Beijing soon.
After learning about the situation from the Huaguo Physical Society, the municipal government in Beijing paid considerable attention to it.
From the city's appearance and municipal administration, to the hotel where you live, transportation, and even small roadside advertisements, ground sanitation, etc., all of them have been grasped in advance.
Especially at this juncture of competition with CERN, or with Western countries led by the United States in the field of basic disciplines, they are bound to show the most attractive side of China in front of mathematicians and physicists from all over the world.
For the Huaguo Physical Society, although Xu Chuan stole the limelight from this year's physics conference, everyone was willing to be a foil.
After all, if there was no paper published by Xu Chuan, this year's high-energy physics conference, at this sensitive juncture, would not have known that physicists would come.
Not to mention the mathematicians and physicists from all over the world who are standing here today.
May 24, Beijing.
As the date of the symposium drew closer, scholars from all over the world flew to this world-famous city.
Carrying a small bag on his back, Xu Chuan came to the door of the 'Huaguo Science and Technology Hall' on Fuxing Road.
This year's High Energy Physics Conference will be held here.
The city government, which had been prepared, had already ensured the security of the entire building, and when Xu Chuan dragged his luggage into the building, Tao Zhexuan, who was wearing a dark gray shirt, happened to walk out of the building.
"Professor Xu, it's been a long time."
After seeing Xu Chuan from a distance, Tao Zhexuan's eyes lit up, and he walked over quickly and enthusiastically.
"Long time no see, Tao." Putting down the suitcase in his hand, Xu Chuan shook Tao Zhexuan's hand with a smile, and continued: "I didn't expect you to arrive so early." ”
Tao Zhexuan patted him on the shoulder with a smile and said, "This is the Yang-Mills existential problem, and I don't think anyone in the mathematics community will miss this presentation." ”
After a pause, he added with a smile: "Of course, the physics community is probably the same." ”
At this moment, two scholars, one old and one young, who were dragging suitcases, also walked into the lobby, and after looking at Xu Chuan and Tao Zhexuan who were standing on the side chatting, the much younger girl suddenly had a smile on her face and walked over quickly with her luggage.
"Professor! I am back! ”
An excited voice came from his ears, Xu Chuan turned his head to look, and a bright smile appeared on his face, this girl dragging luggage was none other than his former student Amelia.
Although he would be contacted by email and phone on a daily basis, he hadn't seen the student since she went to work at CERN two years ago, and he didn't expect to meet him here today.
After carefully looking at this student who he hadn't seen for a long time, Xu Chuan smiled and said, "Welcome back, Amelia!" ”
On the side, Edward Witten, who walked over slowly, said with a smile: "CERN has officially started the upgrade of LHC, and your student has nothing to do now, so he came with me." ”
"Mentor." Xu Chuan greeted Witten with a smile and continued to ask, "Has the upgrade of LHC officially started so soon?" ”
Witten nodded and said, "Well, it was originally expected to start in October this year, but you also know that because of competition, CERN's side has rarely accelerated its speed." ”
After a pause, he then asked, "Speaking of which, how are you preparing for the construction of the collider?" ”
Xu Chuan thought for a moment and replied, "It's still in the exploration site, but I believe that the speed of construction will not be slower than the CERN upgrade." ”
Witten: "Well, hurry up, CERN is in a meeting during this time, and the first thing the LHC will do after the upgrade is to explore the properties of the remaining parts of the inert neutrino and find dark matter, which should be your glory." ”
As he spoke, he suddenly remembered something, and asked instead, "By the way, did you invite that Brian Howard from Oxford University?" ”
Before he attacked his student, Brian Howard was known for his string theory.
Although Witten didn't care much about such a jumping clown, the string theory could never be confirmed, and he couldn't justifiably hammer over that guy.
For him, this is where there has always been a pimple in his heart.
Unexpectedly, more than ten years later, the clown attacked his students again, but this time he was hammered over on the spot, which made Edward Witten breathe a big sigh of relief in his heart.
Xu Chuan nodded and said, "Of course, the Physics Society sent him an invitation, but I don't know if he will come." ”
Witten nodded and said, "I hope he can come over." ”
Although with the clown's character, there is a high probability that he will not come to the meeting, but it would be better if he could see his head lowered and confessed his mistake at this report meeting.
At this moment, a hearty voice came from the side: "He shouldn't be able to come." ”
Several people turned their heads to see that it was Professor Michael Kosterlitz who was speaking.
Kosterlitz walked up to Xu Chuan and said apologetically: "I'm sorry, Professor Xu, the appearance of such an academic liar in Oxford has damaged the reputation of you and Huaguo, and I apologize to you and Huaguo on behalf of my alma mater." ”
The 16-year Nobel laureate, although he is currently a professor in the United States, graduated from Oxford University.
Xu Chuan hurriedly spoke: "This is just his personal behavior, it has nothing to do with Oxford University, Professor Kosterlitz, you don't need to say that at all." ”
Kosterlitz shook his head and said, "No, it is intolerable for a top scholar and a scientific research country to slander and spread rumors. ”
"Oxford University has already taken action to investigate him, and he is currently being interrogated, so he will not be able to report this time."
"However, the relevant apology will be made public at this exchange meeting and relevant media, and I hope to get your understanding and Huaguo's understanding."
The emergence of such a disgraceful professor to the world is also an extremely humiliating thing for the University of Oxford.
While it is rare for someone to elevate an individual's individual actions to the school or the country as a whole, it is necessary for the university itself, at least for the University of Oxford, to publicly apologize for the matter.
After all, the country that was slandered by their school can be said to be the first person in today's academic world.
What's more, this matter also involves a seven-millennial problem.
If even this is not respected, is it something that deserves their respect?