"Tell me what's your next thought?", Professor Thurston asked, pointing to the answer sheet, looking very excited!

"Well, Professor Thurston, I", although he did not give a class to Lu Qiujian this semester, he still recognized the winner of the Fields Medal and the highest award in geometry, the Wiblen Geometry Prize.

"You wait a minute!", as soon as Lu Qiujian was halfway through his words, Professor Nan separated the two of them, smiled at Lu Qiujian embarrassedly and said, "I think there must have been some misunderstanding today!"

As he spoke, he took a few pages from his desk and handed them over, "This is the exam paper I prepared for you, as for that, have you heard of the Millennium Prize?"

"What's that?", Lu Qiujian took the test paper and glanced at it a few times, relying on his ability to finish it in half an hour and get a full score, there was no problem at all.

At the 1900 International Congress of Mathematicians in Bari, Hilbert gave a famous lecture entitled "Problems of Mathematics". Based on the achievements and development trends of mathematical research in the past, especially in the nineteenth century, he proposed 23 most important mathematical problems. The male professor did not answer directly, but talked about the history of mathematics.

Of the twenty-three questions, questions 1 to 6 are fundamental to mathematics, 7 to 12 are problems of number theory, questions 13 to 18 are problems of algebra and geometry, and questions 19 to 23 are problems of mathematical analysis. "These problems have later become difficulties that many mathematicians have tried to overcome, and have had a profound impact on the research and development of modern mathematics and played a positive role in promoting them. ”

"What does that have to do with us now?", Lu Qiujian looked at Professor Nan with some strange eyes.

Some of these twenty-three problems have already been solved, just as Professor Wiles cracked Fermat's theorem! The French mathematician Wei Yi and the Dutch mathematician van der Walden established the foundations of geometric algebra. "In view of the tremendous impetus that solving mathematical problems has brought to the mathematical community, just a few months ago, the Scientific Advisory Board of the Clay Institute for Mathematics selected seven 'Millennium Prize Questions', and the Board of Directors of the Clay Institute for Mathematics decided to establish a $7 million Prize Fund, and each solution of the 'Millennium Prize Problem' will receive a million US dollars. ”

Then he took out the test paper that made Lu Qiujian almost collapse, "This is the seven major mathematical problems proposed by the Clay Institute of Mathematics: NP complete problem, Hodge conjecture, Poincaré conjecture, Riemann hypothesis, Jan Mills theory, Neville-Stok equation, BSD conjecture! I just printed it out and discussed with Professor Dyson which of these seven problems will be the first to be cracked, and put it on my desk before leaving, but I didn't expect it to be sent to you by Anna as an exam paper!"

I'll just say! How can this exam be so difficult! Moreover, several questions have been seen in magazines before, Lu Qiujian held his forehead depressedly, and only raised his head again after a long time, "Then what about my exam? Do you want to retake the exam?"

"No, no, no, not at all!", Professor Nan waved his hand again and again, and tapped his index finger on his answer sheet, "I can even take these things you make now to the school to help you apply for a doctorate! Not to mention the exam! I will give you a perfect score!"

"So I can continue to play?", Lu Qiujian's mood suddenly improved, and he looked at Professor Nan curiously, "So you and Professor Dyson think that those topics will be the first to be solved?"

Professor Dyson believes that the Yang-Mills equation is the fifth problem, and the equation of Professor Yang Zhenning and Mills not only has a profound impact on the physics community - it can even be said that it is the greatest discovery in the house after the war, but also the gauge potential is precisely the connection on the fiber cluster that mathematicians have studied in depth since the 30~40s of the 20th century. "The prediction of the Yang-Mills equation has been confirmed in high-energy experiments carried out by high-energy physics research institutes such as Brockhaven, Stanford, the European Institute for Particle Physics, and the Tsukuba Laboratory, but there has never been a mathematically satisfactory proof. ”

Then he glanced at Thurston, "And I think the Poincaré conjecture of the third question is the most likely to be solved, Friedman proved the Poincaré conjecture in four-dimensional space, Professor Thurston introduced the method of geometric structure to cut the three-dimensional manifold, Hamilton used the Richi flow to transform the space, so that mastering the movement of the singularity is the key to solving the Poincaré conjecture! As long as this problem is solved, the Poincaré conjecture can be proved!"

Speaking of Professor Thurston's contributions, he nodded slightly, not taking Professor Nan's praise to heart, and interjected with his ventilation, "Up to now, most of the obstacles to solving Poincaré's conjecture have been cleared by us, but we still haven't touched the door to open the treasure house, but judging from this answer sheet, you seem to have found the key!"

Professor Nan glared at him, as if dissatisfied with being interrupted when he was lyrical, took a deep breath and continued, "In the process of solving this problem, we Chinese mathematicians have also made a lot of contributions, Cao Huaidong, a student of Yau Chengtong, has been following Hamilton to do Richiliu, and Professor Zhu of Sun Yat-sen University has also made breakthroughs in this area, but they have only taken a step forward in their goals, and your breakthrough is bigger than them!"

If the Poincaré conjecture is compared to a swarthy cave with no exit, then Professor Thurston in front of him, Hamilton and Friedman, who don't know where, and even Cao Huaidong and others are like the "Hercules Demon" Fan Song, the "Flying God and Demon" Zhao He, the "White Ape God and Demon" Zhang Chengyun, and the "Golden Monkey God and Demon" trapped in the belly of Huashan Mountain Zhang Chengfeng and the others used their deep internal force to split the mountain stone and move towards the exit, but they never got through because of bad luck, and Lu Qiujian's answer sheet was like a sword sent by Ling Hu Chong, penetrating the thin rock wall and finding the direction to open the cave.

"So now can you tell me what you think?", Professor Thurston leaned over and asked, Professor Nan's long list of nonsense wasting too much time, he couldn't wait now!

"Okay, that's what I think about this question!", Lu Qiujian took a sip of the black tea sent by Anna to moisten his throat, and then said.

Well, the time when the Clay Institute of this plane came up with these seven questions was 2000, but this was a parallel sleep, so the time was delayed by two years.

Thank you for the three volumes of Xihua, Yan Ordinary, Dragonfly's Wings, Bad Taste Vatican, Sun and Moon Xi Tongguang, Zhidong, 顖黫馸鬵, Pegasus Chunqiu, Book Friend 151114070946457~, Meow Mi, Nansha Scholar and Non-Rich and Non-Expensive Reward, with your support, rushed to the fourth place on the new book list last week, and even overpowered several gods, please continue to support this week!!!!!! I will try to add more returns, love you guys!