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

"Well, Professor Thurston, I..." Although he did not teach Lu Qiujian this semester, he still recognized the winner of the Fields Medal and the highest award in geometry, the Veblen Geometry Award.

"You wait a moment!" As soon as Lu Qiujian was halfway through his speech, Professor Nan separated them and said embarrassedly to Lu Qiujian, "I think something misunderstanding must have happened today!"

As he said that, he took a few pages from his desk and handed it over, "This is the test paper I prepared for you. As for that... have you heard of the Millennium Awards issue?"

"What is that?" Lu Qiujian took the test paper and glanced a few times. With his ability, he finished it in half an hour and got full marks without any problems.

"At the Barry International Congress of Mathematicians in 1900, Hilbert delivered a famous speech called "Mathematical Problems". Based on the achievements and development trends of mathematical research in the past, especially in the 19th century, he proposed twenty-three most important mathematical problems." The male professor did not answer directly, but instead talked about the history of mathematics.

"The first to sixth among these twenty-three problems are basic mathematical problems; the seventh to 12th problems are number theory problems; the 13th to 18th problems belong to algebra and geometric problems; the 19th to 23th problems belong to mathematical analysis." Professor Nan's tone turned excited, "These problems later became a difficult problem that many mathematicians tried to overcome, and had a profound impact on the research and development of modern mathematics and played a positive role."

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

"Of course it's relevant! Some of these 23 problems have been solved, just like Professor Wiles cracked the Fermat's theorem! French mathematician Wei Yi and Dutch mathematician Van der Walden established the foundation of geometric algebra." Professor Nan paused and continued, "In view of the huge driving force that cracked mathematical problems brought to the mathematical community, just a few months ago, the scientific advisory committee of the Clay Mathematics Institute selected seven 'million-year-old grand prize problems', and the board of directors of the Clay Mathematics Institute decided to establish a seven-million-dollar prize fund, and each solution to the "million-year-old grand prize problem" can receive a reward of one million dollars."

Then he took out the test paper that made Lu Qiujian almost collapsed, "This is the seven major mathematical problems proposed by the Clay Mathematics Institute: NP complete problem, Hodge conjecture, Poincaré conjecture, Riemann hypothesis, Young Mills theory, Navell-Stoke equation, and BSD conjecture! I just printed it out and discussed with Professor Dyson that one of the seven problems would be cracked first. Before leaving, I put it on my desk, but unexpectedly, Anna gave it to you as an exam paper!"

I just said! Why is this exam so difficult? And I have seen several questions in magazines before. Lu Qiujian held his forehead depressedly, and it took a long time to raise his head again, "What should I do with my exam? Do I need to take it again?"

"No, no, no, no, no!" Professor Nan waved his hand repeatedly, and his index finger knocked on his answer sheet. "I can even take these things you have made now to the school to help you apply for a doctorate degree! Not to mention the exam! I will give you a full mark!"

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

"Professor Dyson believes that it is the fifth question. This equation of Professor Yang Zhenning and Mills not only has a profound impact on the physics community—it can be said to be the greatest house after the war. It is not an exaggeration to find it in the liaison between the fiber clumps that mathematicians have studied in-depth since the 1930s and 1940s." Professor Nan first talked about the problem that Professor Dyson believes will be solved first. "The prediction of the Young-Mills equation has been verified in high-energy experiments performed by high-energy physics research institutions such as Brockhavin, Stanford, the European Institute of Particle Physics and Tsukubo Laboratory, but a mathematical satisfactory proof has never been obtained."

Then he looked at Thurston, "I think the Poincaré conjecture in 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 Richi flow to perform spatial transformation, making mastering the trend of singularity the key to solving the Poincaré conjecture! As long as this problem is solved, the Poincaré conjecture can be proved!"

When talking about Professor Thurston's contribution, he nodded slightly, and did not take Professor Nan's praise to heart. He interjected through his breathing skills, "To this day, most of the obstacles to solving the Poincaré conjecture have been cleaned up by us, but we still have not touched the door to open the treasure house. However, 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. He took a deep breath and continued, "In the process of solving this problem, our Chinese mathematicians have also made a lot of contributions. Cao Huaidong, a student of Qiu Chengtong, has been following Hamilton to do Richi flow, and Professor Zhu from Sun Yat-sen University has also made breakthroughs in this regard... But they have only pushed their goals forward one step, and your breakthrough is bigger than them!"

Professor Nan's long sentence actually expresses a meaning. If the Poincaré conjecture is compared to a dark cave that cannot be found, then Professor Thurston in front of him, Hamilton, Friedman, and even Cao Huaidong, who are not sure where they are, are like Fan Song, the "heroic gods and demons" trapped in the belly of Huashan Mountain, Zhao He, the "flying gods and demons" Zhang Chengyun, the "white ape gods and demons" Zhang Chengfeng, etc., use their profound internal forces to split the rocks and move towards the exit, but they have never been opened because of bad luck. And the answer sheet by Lu Qiujian is like Linghu Chong's sword, which penetrates the thin rock wall and finds the direction to open the cave.

"So can you tell me what you think now?" Professor Thurston bent down and asked. Professor Nan's long nonsense wasted too much time, and he could no longer wait!

"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 it took for the Clay Institute to come up with these seven problems was 2000, but it was parallel and not sleeping, so the time was delayed by two years.

Thanks to the Vu Sanxihua, Yanshuangchang, dragonfly wings, bad taste of Vatican, sun and moon shine together, Zhidong, Jingguifeng, Pegasus Spring and Autumn, Book Friends 151114070946457~, I'm a little girl, Nansha scholars and non-wealthy rewards, with your support, and even surpassed several great gods. I'd like to continue to support this week!!!!!! I will try my best to give you more rewards, I love you guys! It's still the third update today!
Chapter completed!