When talking about winning awards, we cannot help but mention the matter of receiving the awards.
"The Humboldt Prize will be awarded on the 12th of next month, the Cole Prize in Number Theory should be awarded in January, and the Ramanujan Medal will be awarded on December 21st. Have you arranged your itinerary for next month?" Zhou Wenping asked carefully. If Wu Tong had any questions about traveling, they could also help Wu Tong with the details in time.
These three awards are all abroad, and they are not close together. One is in Europe, one in Africa, and the other is on the other side of the Pacific Ocean.
In fact, they were also concerned about whether Wu Tong could travel abroad and whether he could be confirmed to be safe. If there were any safety concerns, they would rather not let Wu Tong take the risk of receiving these awards. Wu Tong's safety was more important.
"Mr. Faltings from the Deutsche Mark Institute has invited me to visit and study. I have already reported it. Let's make travel arrangements!" Wu Tong is not sure whether he can go out yet. He has to wait until the security department discusses and confirms it before making travel arrangements.
She was the easiest person to arrange herself; she could just pack her suitcase and there was nothing special to prepare. However, her involvement in a confidential project was so deep that whether her travel would be restricted was still under discussion.
It’s better to follow the arrangements and not cause too much trouble to the people protecting her. She would rather not make unnecessary sacrifices than travel.
"Okay, let's discuss it after the results come out!" If Wu Tong is not convenient to go, he can find a reason and send a representative from the School of Mathematics to receive the award on his behalf.
Pan Wenhua packed two boxes of black tea and when he sent Wu Tong out, he forced them on Wu Tong and let her take them away.
"Come back when you're done. I still have some. My former students, whose families are from Fujian Province, send me some every year. I don't know much about tea, so I'm just a bunch of idiots!"
"Look, look, our Dean Pan is showing off his filial and proud disciple again!" Zhou Wenping joked. Dean Pan's student who was born in Fujian Province is now a famous Changjiang Scholar in mathematics and has a great reputation in the Chinese mathematical community.
"Come on, Wu Tong, while you have time, I'll take you to get to know the institute's office!" Zhou Wenping waved to Pan Wenhua as a farewell.
It has been two months since the start of school, and Wu Tong has achieved all his mathematical results, but he has not yet visited the Peking University Research Institute!
They had to prove that the treatment offered by the School of Mathematics was no less than that offered by the School of Materials Science. The School of Mathematics, which they had worked so hard to maintain, could not be constantly basking in the glory of other schools.
First, in September, the School of Materials Science and Engineering directly initiated a confidential project, and then in October, the School of Physics clearly leaned towards turbulence research in fluid mechanics, which had the School of Physics on edge. In other words, the School of Physics had been active since Wu Tong arrived, but Wu Tong had been too busy since then, leaving them no chance to make any moves.
"The Peking University International Center for Mathematical Research is a nationally funded platform for outstanding talent and a hallmark of our School of Mathematical Sciences at Peking University. It is headed by Academician Niu Tian, a top figure in the School of Mathematical Sciences at Peking University, and I am the deputy director.
The honorary directors are two Phil Medal winners. One of them is Mr. Andrew Wiles, the prover of Fermat's Last Theorem, whom you are familiar with, Wu Tong. The other is also familiar to you, Mr. Stephen Smale, whom we met at the Hydra International Congress of Mathematicians. Zhou Wenping spoke as they walked, briefly introducing Wu Tong to the Center for Mathematical Research at Peking University, giving her a deeper understanding of the center.
Before this, Wu Tong knew without a doubt that there was such a place at Peking University, but he probably didn't know much about it in detail.
"As the prover of the high-dimensional Poincaré conjecture, I have read Mr. Smale's Precursor to the Concept of Chaos, Smale's Horseshoe, Smale's Eighteen Questions and Smale's Theory of Cakes." Wu Tong was not unfamiliar with this gentleman. She had read many of his documents and works.
It was while reading Hibbert's Twenty-Three Questions that she came across the related Smale's Eighteen Questions, and thus came into contact with a series of documents about this gentleman.
"Yes, Mr. Smale has made great contributions to mathematics and is one of the greatest mathematicians of the last century." Zhou Wenping nodded and took Wu Tong to the third floor of the research center. He opened a well-located office.
"This is your office. I've only made a simple arrangement for you, so it's quite basic. If you have any needs, we can arrange it! My office is across the street!"
Wu Tong took a look at the interior. There were complete desks and office chairs. There was a row of filing cabinets against the wall. Next to the filing cabinets was an indoor water dispenser and a small refrigerator. On the other side of the wall was a vertical air conditioner. There was also a small meeting area in the middle. The back wall was lined with large windows, which provided excellent lighting. Sitting behind the desk, he needed to adjust his mood. Looking out, he could see the blue sky and green plants on the campus.
"It's pretty good!" The office must be maintained by a dedicated person, spotless, and Wu Tong can just bring his bag to work. "I can work right here, Professor Zhou, thank you for taking the trouble!"
"Let's get started. This office can finally be put to good use!" Zhou Wenping made a humorous invitation. They all looked forward to keeping Wu Tong here so that he could concentrate on his research.
Wu Tong has always taken direct action to achieve the goals set in the project.
Goldbach's conjecture. Wu Tong has been making continuous progress in number theory. Naturally, he has thought about this top problem. From Zhou's conjecture to the twin prime conjecture and Polignac's conjecture, they are all laying the foundation for this problem.
In 1742, a letter from Goldbach was delivered to Euler across the war, asking him whether any integer greater than 2 can be written as the sum of three prime numbers. To this day, nearly three hundred years have passed, there is still no perfect answer to this question.
Using "a + b," we can express the following proposition: Every large even number N can be expressed as A + B, where the number of prime factors of A and B does not exceed a or b, respectively. Clearly, the Goldbach conjecture can be expressed as "1 + 1." Progress in this area has been achieved using sieve methods.
From 9+9, 7+7, 6+6, and so on, all the way to Mr. Jingrun's proof of 1+2, these predecessors persevered in advancing this conjecture. They seemed to have pushed the sieve method to its limits.
Many scholars suspect that the sieving method has reached its end, but has the sieving method really reached its end?
Wu Tong never believed what others said. Her intuition told her that the sieve method had not yet reached its end and there was still a lot of room for improvement. This had been demonstrated by the infinite group proof method that had come before her. When she supplemented it with topology in the sieve method, it had already made it clear that the sieve method had not reached its end.
Facts speak louder than words. Rather than arguing, Wu Tong would rather verify her intuition with actions.
Starting from this question itself, Wu Tong followed the path of his predecessors and began to deduce, starting from 9+9 and moving towards 1+1. He started the deduction from the beginning, trying to perceive the correct direction in each direction.
Only by starting from the beginning with the right direction can she stay on the right path and touch more ideas of the predecessors. Perhaps, she can catch that spark of inspiration?
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