Boys and girls generally have to go through a number of major stages of dating, the first stage is to be able to speak, to ask the girl out, the second stage to achieve the achievement of physical contact, as for the third stage is to push down. Lu Qiujian has now completed the first two steps, and as for the third item, there is no hurry for the time being.

Just as he and Natalie were talking to me, Professor Nan received a new email, the publisher of which was Grigory Perelman, "Hmm? What has Grisha done again?", Professor Nan opened the email with a little envy:

Dear Nan,

Can you please take a look at my new paper, where I propose a monotonic formula of the Ricci flow that holds in all dimensions without the need for curvature assumptions...... If I don't find any problems, I'm going to publish it on the arXiv math website.

Grigory Perelman

Poor Grisha, this kind of thing often happens in academic circles, but he didn't expect that this time it was his friend Grisha's turn, and Professor Nan could see at a glance that his paper seemed to have similarities with Lu Qiujian's, but Grisha had not yet completely completed the proof of the Poincaré conjecture, but only found a breakthrough; however, judging from the ideas revealed in this article, it was only a matter of time before Grisha completed the Poincaré conjecture.

But this is where the cruelty of academia lies, people are usually the first to break through, and the rest of them are just their foils. After pondering for a moment, Professor Nan began to reply:

Dear Grisha,

I have read your paper, a wonderful article, and I congratulate you on your achievement, but I regret to tell you that a third-year Princeton student has completed this proof before you, and has gone a little further than you, and he has completed the proof of the Poincaré conjecture thoroughly. The abstract of the paper will be published in the next issue of Science, and the full paper will also be published in the Annals of Mathematics.

Of course, if you are willing to communicate with Lu Qiujian, the student who solved Poincaré's conjecture, I would be willing to help you establish a connection.

In the end, hopefully you won't lose your fighting spirit because of this blow and will be able to make a bigger breakthrough in the coming time.

Your friend, Nan

Emails quickly reached the other side of the world via the Internet, and in the distant city of Moscow, Grigory Yakovlevich Perelman was nibbling on cold, hard black bread in front of his computer with Befelev brand yogurt, a diet he had been sticking to for more than a decade.

People who know him as well as Professor Nan usually call him Grisha. At the age of 16, Grisha became interested in mathematics at the age of 4, but he was alone in his math books while other children were having fun, and at the age of 16 he entered the famous St. Petersburg No. 239 school, which has always been known for its teaching of advanced mathematics and physics, and in his first year at No. 239, he participated in the International Mathematical Olympiad as a high school student, winning a gold medal with a score of 42.

Everyone knew that this genius had an immeasurable future, and the people of the United States immediately offered him a generous scholarship, but he declined the invitation to study in the United States.

After graduating from high school, he entered St. Petersburg University and became a member of the St. Petersburg School founded by Chebyshev, and after receiving his Ph.D., he visited the Courant Institute of New York University in the United States, and then at the State University of New York at Stony Brook. During this period, I became acquainted with Professor Nan.

After the visit, he returned to St. Petersburg and continued to work "quietly" at the Sterkolov Institute. Living in isolation, no one knew what he was doing, but he didn't expect him to make such a big breakthrough quietly.

The announcement of the arrival of the new mail sounded, and Perelman smiled when he saw Professor Nan's name at the sender's location, and sped up his devouring of the black bread.

With a hint of doubt, Perelman opened Professor Nan's email, and the contents of the email immediately hit her hard. Unexpectedly, the results of his years of hard work had been made by others in advance, and Perelman, who was excited, immediately replied to Professor Nan to ask for Lu Qiujian's paper.

After obtaining Lu Qiujian's consent, Professor Nan sent the email, anyway, after experiencing Professor Ferig's matter, the honor of cracking the Poincaré conjecture has fallen on Lu Qiujian's head, and there is no need to worry about other problems.

Sure enough, it's the same way I think of it! It's a pity that I'm still one step late! Lu Qiujian's next steps are not beyond Perelman's expectations, and if he were to do it, he would probably use the same method as Lu Qiujian.

God, don't you really want me to retire so early? Perelman, who was going to push out the mathematical community after he finished cracking the Poincaré conjecture, was entangled, what should he do next?

I don't know when he will make a public report, and he will definitely go to see it when the time comes, but the cost of travel is a big problem! The Sterkolov Institute is not a place that can offer a high salary, and the meager salary is used by him to buy various journals and research facilities, and Perelman has not saved much for so many years.

It would be nice if he was willing to put it in Europe, at least the cost of the road would be less, forget it, this is not something that can't be solved, let's talk about it when I get the news! Professor Nan will probably inform me then, right?

Putting aside the cost of the journey, Perelman leaned back in his chair and thought about his future, which was not a bad thing now, at least not for now, without worrying about the same huge loss as Wiles, who had nothing to do, didn't he?

In mathematics, there is not only the Poincaré conjecture that has been solved, but there are also many problems waiting for mathematicians to overcome, such as the Riemann conjecture and the Hodge conjecture! Perelman struggled for a few days and began to find a new way forward for himself, and of course he did not forget to send an email to Professor Nan:

Dear Nan,

I am both disappointed and excited to receive this email, disappointed that I have fallen behind others, excited to be able to see the complete process of deciphering the Poincaré conjecture earlier, if Lu Qiujian is going to make a public report in the future, please give me an admission ticket, you don't have to worry about my situation, I have come out of the confusion and am looking for a new research direction, I hope that the next time you receive an email, it will not bring me bad news like this time.

Grigory Perelman

This chapter is the third addition of Sanjiang, and I still owe 6,000 income and 11,000 to 15,000 recommended additions!