At half past seven, the scholars who had come to attend the report meeting had already taken their seats.

The auditorium was packed, and the voices of people were buzzing, and the sensational figures and the sounds of discussion gathered together.

For the mathematics community, today's report will definitely be a grand event comparable to the National Congress of Mathematicians.

The breakthrough of the phased results of the two millennial problems, whether it is p=Np? Conjecture or Riemann conjecture is crucial to the development of mathematics and even the whole social discipline.

Of course, it was not only the scholars in the auditorium who came to participate in the exchange lectures.

In the backstage of the auditorium, the teachers and staff of the administrative office of the Xianlin branch of NTU were busy and nervously doing the final inspection.

From microphones to projections, from sound to projections, everything needs to be equipped during the event to ensure that there are no problems.

This is the first time that the Xianlin branch has held a grand event of this level, but the school leaders have given a death order, if there is a problem in the link who is responsible, then there is no need to do it, just get out!

This is the world's top academic exchange meeting, with more than 4,000 scholars present!

For the academic community, even if it is put on an international scale, such a grand event may not be once in a few years.

It can be said that half of the mathematical world is here, and it is a joke that if someone drops a bomb here, the development of the mathematical world will have to be set back by at least 20 years!

.......

Time passed quickly in the discussion of the crowd, and at eight o'clock, Xu Chuan, who was dressed in a formal suit, walked smoothly and slowly to the front of the auditorium.

Standing on the report platform, looking around at the audience that had quickly quieted down and focused on him, even after experiencing countless report meetings, at this moment Xu Chuan's heart still surged with a steady stream of magic like a tide.

Without him, this is not the result of his previous life, but the path opened up on the majestic mountain of the Riemann conjecture, which is another breakthrough he made to himself, and it is also the opening up of the intellectual boundaries of human civilization.

Taking a deep breath, Xu Chuan glanced around the venue, and then glanced back at the curtain hanging on the wall behind him, as if he could see another person waiting quietly and nervously in the lounge through the curtain.

After a short period of reflection, he breathed a long sigh of relief and slowly spoke, "First of all, welcome to all of you who came to participate in the exchange report, and I am very grateful to you for taking time out of your busy schedule to come here to listen to the academic report."

"As you can see, today's presentation will be divided into two sessions. The morning session was a presentation on "Polynomial Algorithm for Positive Integer Factorization". The afternoon session was a presentation of the proof of the weak Riemann conjecture."

"The report is tightly scheduled, so I won't delay your time any longer. According to the process, the next step is to invite Liu Jiaxin, the proof and speaker of "Dazheng Integer Factorization with Polynomial Algorithm", to make an academic report."

After a brief opening remarks, Xu Chuan stood on the lecture podium and clapped his palms, and from the audience, a tidal wave of applause rang out, lingering and echoing in the auditorium of thousands of people.

Behind the lecture stage, Liu Jiaxin, who was wearing a dress suitable for attending the report meeting, had already stood behind the curtain, and after hearing the invitation on the stage, she took a deep breath and controlled her steps to walk onto the lecture stage.

Looking at the senior sister with a nervous face in front of him, Xu Chuan handed over the microphone in his hand with encouragement in his eyes.

Liu Jiaxin nodded lightly and stood on the stage instead of Xu Chuan.

Under the lecture stage, many scholars who had never seen or even heard this name before poked their heads curiously and looked at them curiously.

Many people were curious and curious about this young female scholar.

In the world of mathematics, the number of women is very small. In particular, there are very few female mathematicians who can produce top-notch results.

You see, the Fields Medal has been awarded for so many years, from the thirties of the last century to the present, it is almost a full century, and there are only three female mathematicians who have won this honor.

The first was the late Professor Mariam Mirzahani, and the second and third were awarded the medal just over a year ago

Professor Amelia and Marina.

From 1936 to 2022, in a full 86-year period, only three female Fields Medals have been awarded, which shows that their number is rare, a hundred times rarer than wild giant pandas.

After these three female Filipino prize winners, the International Congress of Mathematicians to be held in Jinling three years later may usher in a new female Filipino prize winner.

p=Np？ Guessing the core problem of this millennial problem, "Positive Integer Factorization with Polynomial Algorithm" proves that it definitely deserves this honor.

Even if she didn't have much of a reputation in the math world before, it was enough.

So after Liu Jiaxin appeared, the eyes of the audience turned over, with curiosity and wait-and-see, wanting to see if this legendary solved p=np? Guess what the female scholars look like at the heart of the puzzle.

In the venue, when Liu Jiaxin stood on the lecture platform, there was a sudden surging movement in the audience.

Many scholars were surprised by the young age of this female reporter, judging by her appearance, she may only be twenty-six or seventeen years old, which may be about the same age as the shocking Professor Xu.

Even though mathematics itself is a young subject, it is still an incomparable surprise to many people to be able to solve a world-class mathematical conjecture at this age, which is still an important part of the millennial puzzle.

After a short period of surprise, many people turned their attention to the young man who had walked off the stage and sat in the front row.

Amelia solved the Bloch conjecture in the past, and Jiaxin Liu solved the problem of polynomial algorithm in positive integer factorization.

If you want to say that the two have something in common, in addition to being young, it is related to Professor Xu, who is sitting in the front row at the moment.

The former is his student, the latter is his senior sister, and some say that it is his girlfriend, but no matter what, the two can hold a report meeting together, and the relationship must be quite close.

Perhaps, that young Professor Xu also has a height in education that is difficult for ordinary people to reach?

.......

On the report stage, Liu Jiaxin didn't think about it so much.

Being watched by thousands of people in the audience, she only felt that her heart was about to jump out.

Taking a deep breath, her eyes fell on a figure in the front row, looking at the other party and nodding at her with a smile on her face, Liu Jiaxin tried to calm down.

"Come on! Jiaxin, you can do it, everyone is watching you!"

I silently cheered myself up twice in my heart, and Liu Jiaxin had a trace of determination in her eyes.

Soon, the "Big Positive Integer Factorization with Polynomial Algorithm" Proof Report will begin.

According to the previous rehearsal, after welcoming scholars from all over the world as usual, the report also entered the main topic.

「‘p=Np?" Conjecture is the central problem of computational theory. The complex class p contains all those decision problems that can be solved by a deterministic Turing machine in a polynomial expressed time. Np, on the other hand, refers to a decision problem that can be solved by a non-deterministic Turing machine in polynomial time......

「...... It is found in various fields such as mathematics, optimization, artificial intelligence, biology, physics, economics, industry, etc. If the relationship between p and Np can be solved, it will be of great significance to solve the problem of algorithmic complexity of these problems."

「......」

On the lecture platform, from being a little nervous and rusty at the beginning, to being calm and handy at the back, Liu Jiaxin's voice became more and more calm.

Sitting in the audience, looking at the senior sister who was getting better, Xu Chuan nodded approvingly with a smile on his face.

Although the proof of "Positive Integer Factorization with Polynomial Algorithm" can be said to be completed by Liu Jiaxin himself, without him, it would probably be impossible for the mathematical community today to see such a brilliant paper, right?

After all, if you really follow the trend of history, the senior sister who originally graduated from college will go out to work, even if her talent is good, but

Without academia, it is almost impossible to achieve anything.

It can be said that Liu Jiaxin is the talent he personally excavated, and he is Bole! The achievement of this cultivation system brought him another kind of pleasure that was no less than solving a world's problems.

Half an hour passed, and the report gradually came to an end, but Liu Jiaxin on the stage did not dare to relax in the slightest.

Because the next question session is the core part of the whole report meeting.

The first to stand up and ask questions was the famous Hungarian mathematician, Laszlo Loise.

He studied theoretical computer science and discrete mathematics and served as the director of the International Mathematical Union from 2007 to 2010.

Although he did not win a Fields Medal, he won the Wolf Medal, the Gartner Prize, the Gödel Prize, the Kyoto Prize, and other top mathematics prizes and computers.

It can be said that in the intertwined disciplines of computer science and mathematics, he is a real big man.

After the big bull stood up, he glanced at the report table, looked down at the notebook in his hand, and said in a flat and straightforward tone:

"On page 23 of the report, I noticed that the presenter, in describing the ideal class of the order h(K)=|c(K)|, which is called the number of numbers in the field K, of the group c(K), has completed the proof that h(K)=1 is the main ideal if and only if each ideal in the ring oK is the main ideal, and if and only if oK has unique factorization properties."

"How did the reporter come up with this?"

Hearing the big bull's question, Liu Jiaxin quickly found the question that Professor Laszlo Lovac said about the proof paper that was spread on the lecture table.

Looking at the above formula, she quickly replied, "For many types of number fields, for a given finite commutative group G, in all such number fields of discriminant d(K)6x, the proportion of the group G is limited to a when x→+∞, and they give the calculated value of the non-negative real number a......

"And on page 23 of the proof formula, I complete the proof that when d(K) passes through all the primes, the class number is 1 in all the real quadratic fields of d(K)6x.....

The concise and clear words quickly came out of Liu Jiaxin's mouth, and under the stage, Laszlo Lovaz's eyes had a hint of thoughtfulness, which immediately turned into approval.

He smiled and nodded, "Thank you."

After Laszlo Loaaz's questioning, the question session continued.

The second person to ask questions was also a big figure in the field of computer mathematics, winner of the 2006 Nawang Linna Prize.

"Positive integer factorization with polynomial algorithm" proves that p=Np? The core problem of conjecture, which is an important part of the millennial problem for the mathematical community, is a world-class conjecture, which is very difficult, but it is not of much significance for the development of pure mathematics.

However, for the development of computer mathematics, it can be described as a pinnacle existence.

Like the Yang-Mills existential problem completed by Xu Chuan, it is only an extremely difficult differential equation to solve for the mathematical community, and aside from the tools and other gains created in the process, solving it can lead to an answer.

However, for the physics community, it is an important cornerstone to support theoretical physics to move forward again, and it is the only way to complete the grand unified theory.

Therefore, there were quite a few scholars who stood up to ask questions.

Of course, not all scholars who stand up to ask questions are great experts and can ask precise and high-level questions.

For example, a PhD student from the University of Edinburgh raised a question of shame and disgrace to the world.

"How did the presenter get this proof on page 47 of the trade-off between the running time of the approximation algorithm and the approximation guarantee, the squares and hierarchies that can be applied to the approximation of exponential time, and the number of vertices r of the n representation graph can be any positive real number greater than 1 (which may depend on n)?"

As soon as this question came out, the auditorium was Naton

There was a commotion.

The sound of squirming echoed in the spacious auditorium, and many people cast surprised, surprised, confused, and even mocking glances at the doctoral student who stood up to ask questions.

Hearing the question, Liu Jiaxin was a little surprised and stunned for a moment on the lecture stage, and then after confirming the problem, she explained: "The apex coverage, uniform sparse cut and the moderate exponential time approximation algorithm for related problems are not my proof results."

"If I'm not mistaken, in the subsequent explanation, there is a quote from Professor Luca Trevisan's presentation paper at the 2018 International Congress of Mathematicians."

"You can look at the sixth of the quote lines, Professor Trevisan has given a fairly complete explanation."

Hearing that he had asked a problem that had already been solved, the doctoral student from the University of Edinburgh suddenly turned red, and sat back with an embarrassed face after saying "thank you" in a thin voice.

It's one thing to be unskilled in learning, it's another thing to have the courage to ask questions at the report meeting, even if you ask the wrong question, it's nothing.

But obviously, this kind of question in my mind, I don't even look at the cited papers, and I don't search in advance to find out whether there is a solution to the question, and I will only be laughed at if I ask it.

.......

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