Qiu Xindong said it was simple, but Xu Shengzhou didn’t really think it was that easy.

Questioning is the beginning of learning and research. Especially when facing Fields Medal winners and professors from universities in Europe and the United States, how to ask profound and appropriate questions will test the ability and level of the questioner. Asking questions that are too superficial will

It seems that you are ignorant; asking too difficult questions is a slap in the face of the other party; if the questions you ask have nothing to do with the content of the report, it is simply making a laughing stock. The key is to take advantage of them, so you must make their report

The content, research direction and the confusion you encountered are organically combined. At the end of the report, ask an appropriate question. The difficulty is no less than dancing on three eggs!

For this reason, Xu Shengzhou asked Shi Xinke to print out the submissions from the participants and hand them to him as soon as possible after receiving them. After receiving the papers, he must first check them with his "junior extraordinary academic vision" to see if there are any obvious errors.

, plagiarism; look at the author's resume to understand his previous research experience and research direction; then read the paper carefully to see what the essence of the article is, what novel ideas it has for solving the Hodge conjecture, or what new ideas it has developed.

Methods, which of them are useful to you, and what problems still exist; finally, you think about how you should ask questions and what kind of answer you want to receive from the other party.

This whole process can take at least one morning and can take up to two or three days. It is really tiring and laborious. But the benefits are not without. By the time I read all the papers of the participants, the research progress in the system has improved by at least 5.2 points.

Percentage points!

On July 29, after several months of intense preparations, the first international symposium on algebraic geometry held by China Vocational College of Science and Technology was finally held grandly in the academic lecture hall of the new campus. 70 students from China, China, Neon, Gaul and other countries attended

More than 10 algebraic geometry researchers attended the meeting. Since the participants included Cheng Deru, an academician of the Chinese Academy of Sciences, and four Fields Medal winners, including Qiu Xindong and Andrei Okunkov, the Education Commission and the province attached great importance to it and specially sent

High-level leaders attended and highly affirmed the convening of the meeting.

When attending a conference, it is natural to visit the campus.

After viewing the new campus's gate, library, academic lecture hall and other buildings planned and constructed by Perkins&Will Architectural Design Office, several leaders were full of praise and believed that "it can represent the latest development of private higher education in Jiangnan Province".

"Level". Taking this opportunity, Su Shanyue specifically reported the school's plan to merge with several other private colleges and the idea of ​​"upgrading from junior college to bachelor's degree". Regarding the latter, they only cautiously stated that they knew about it; for the former, they expressed it clearly

Support. Apparently before coming here, or even earlier, the leaders knew about the feat of teachers and students of several other private colleges jointly demanding to be merged, right?

Praise and promises are naturally the real support and recognition of the school from the Education Committee and the province, but Xu Shengzhou feels that these are just a prelude to holding the meeting, and the most important gain should be the meeting itself.

The first session of the academic seminar was a special lecture by the conference, and the speaker was Andrei Okunkov, the 2006 Fields Medal winner.

Okunkov is a Rakshasa. When he speaks English, he has a heavy accent, and from time to time he will bring out the vibrato of Russian. It requires careful attention to understand. But he is very talkative and has a relatively active mind, probably because he is only fifty.

When you are young, you don’t have so much regret, right? When you saw Xu Shengzhou, you smiled and said: "xu? I know you. I was the one who reviewed the paper you published in "invent.math."! It was really well written!"<

/p>

Xu Shengzhou quickly thanked him: "Thank you very much! At that time, I was still a student majoring in computer science and did not officially study in the School of Mathematics. I took the liberty to submit an article to "invent.math.". After submitting, I was very worried. I didn't expect that I would still return the manuscript.

Passed. To this day, I still remember the surprise and joy when I received the manuscript notification!”

Okunkov laughed loudly, quite a bit of the inherent pride of a fighting nation: "Then we are very similar! When I first studied at the School of Economics and Mathematics at Lomonosov Moscow State University, I was not a math major.

, but studied economics. Later, as my interest in mathematics became more and more intense, I transferred to the Department of Mechanics and Mathematics. So I often tell others, don’t be afraid of learning mathematics too late, and don’t be afraid of changing departments. As long as you are interested, you can do it anytime.

It’s not too late!”

Xu Shengzhou said: "What a coincidence. Not long ago, I just recommended a young man with quite a talent for mathematics to transfer to the School of Mathematics."

"So, don't be afraid to make this decision!" Okunkov immediately introduced Xu Shengzhou as a confidant, "And the current development of mathematics is a bit like social sciences, where different branches of subjects influence each other and form new ones.

The direction of subject research is a bit like physics, which strives to find a grand unified theory that can unify the four interacting forces. Therefore, people with different subject backgrounds entering the field of mathematics research should have a more positive significance for the development of mathematics."
p>

Xu Shengzhou nodded repeatedly.

In today's world, if anyone is qualified to say the above words, then Okunkov will definitely be one of them. Because the content of Okunkov's Fields Medal is in "Probability Theory, Representation Theory and Algebra"

He has achieved outstanding results in the "interaction of geometry". Probability theory and algebraic geometry are two seemingly very distant fields of mathematics. It feels like there is reproductive isolation between different species, but he can find similar connections between them.

And it has a very profound impact on both.

Xu Shengzhou only got to know this boss after he decided to study algebraic geometry and probability theory at the same time. Generally speaking, Okunkov's approach is to discover some problems in algebraic geometry, and its physical significance comes from superstring theory.

and gauge field theory, which can be mathematically transformed into probability theory problems, that is, the behavior problems of random surfaces and random curves, thus connecting probability theory, representation theory and algebraic geometry.

This chapter is not over yet, please click on the next page to continue reading!

The content of Okunkov's report this time is also related to the Hodge conjecture, which discusses the uncertainty of three-dimensional random surfaces. Xu Shengzhou read his paper for the longest time after getting it, and he was still reading it even the day before the meeting.

.He feels that Okunkov’s research, even if it cannot help him fill in a key link, will give him very useful inspiration.

Okunkov, or rather the Fields Medal winner, is very famous. His report attracted hundreds of observers, mainly from the mathematics departments of major universities in the deep forest university town, both teachers and students.

Lecture Hall No. 1, which can accommodate 600 people, came into play for the first time.

Okunkov did not have the appearance of being very smart, or the eloquence to speak endlessly when talking about mathematics, but he was very serious when giving reports, calculating every Fourier transformation or series in detail, and trying his best to make everyone

Everyone in the audience can understand: "...through the above method, the digital random walk is extended to the permuted random walk...the gromov-witten/donaldson-thomas correspondence of the three-dimensional ring cluster is established..."

Well, although he has tried his best to make it easy to understand, mathematics is not like storytellers. Listening to hundreds of lectures has a certain threshold. Beyond the threshold, even if you start with calculus, you will still be confused, especially

The speaker’s English also had a strong accent. After the opening five minutes, basically 90% of the audience began to enter the confusion mode after completing the photo and clock-in task, wandering between wandering in the world and dreaming of Duke Zhou.

Although Xu Shengzhou had read Okunkov's paper, he had a different feeling when listening to the report on the spot, especially when the other party would make comments from time to time, which made him feel like he was enlightened. Many problems that he had not thought about before were instantly solved, and countless inspirations came to him.

It gushed out under the guidance of the influence, just like Sun Wukong entering the alchemy room of Taishang Laojun.

Maybe this is the difference between self-study by reading textbooks and listening in class?

Finally, Okunkov finished his one-hour speech, and the sleepy audience quickly clapped their hands. After the warm applause, Xu Shengzhou took the stage as the moderator of the conference: "Thank you Professor Andre for your wonderful report. Andre

In the report, the professor started from the calculation problem of gromov-witten invariant in the one-dimensional case... It has very good guidance and inspiration for our understanding of the uncertainty of three-dimensional random surfaces. Let's enter the question and answer session. If you have any questions, please raise them.

Hand?"

After the audience looked left and right, they fell into an awkward silence.

There is no way, the content of Okunkov's report is very difficult, most people just listen to it lonely, a few people are still digesting it, and no one wants to show off.

Well, in that case, it’s time for the host to come to the rescue! Xu Shengzhou chuckled a few times: “Since everyone is so humble and courteous, let me throw some light on it and ask Professor Andre a few questions. First

I have a question, Professor Andre. You cited the hurwitz-hodge theory related to projective spheres and elliptic curves on page 9 of the ppt, and deduced it. However, considering..., do you need to prove the following situations, such as

…? And…”

Okunkov turned his head and thought for a while: "Well, this is a very good question. I didn't think of it before. Maybe we can do this..." As he said that, he picked up the pen and started writing on the whiteboard, writing seven or eight words.

Minutes later, he stopped and scratched his head awkwardly: "This is a really interesting question. I haven't thought about it for a while. Maybe it needs a special paper to discuss it. How about the next question?"
p>

Xu Shengzhou asked again: "Second question, Professor Andre, in the third line of page 16 of the ppt, you gave the formula for the calculation of the gokakumar-vafa invariant of the local cbi-yau three-dimensional manifold.

21, but we saw a significantly different formula in the paper by Keya et al. in the seventh volume of "jag", that is... I think that under the constraints of conditions 29 and 32, formula 21 may need more stringent restrictions. For

What do you think about this issue?"

Okunkov was shocked: "This is how I understand this issue." He picked up a pen and started writing on the whiteboard. Ten minutes later, he stopped writing again: "Perhaps, I need to further discuss this issue.

Think about it carefully. Next, one last question?"

"Okay, my last question is..."

Therefore, poor Professor Andre was hung up on the stage with three questions for nearly half an hour, and he could not answer the last question. But he also admitted that the three questions raised by Xu Shengzhou were very profound. If these three questions could be solved,

problem, the quality of his paper will be greatly improved.

Next, there is a special lecture by another Fields Medal winner at the conference.

As usual, no one asked questions, and as usual, Xu Shengzhou came to the rescue. As a result, the other party was once again hung up on the stage with three questions for nearly half an hour, and the last question was not answered.

In the afternoon, the main lectures were given by Professor Bagau from the University of Michigan, Professor Toda from the University of Neon, and Professor Pierre from the University of Gaul. No one was spared, and all three were saved by Xu Shengzhou.

The questions were blocked on the stage. Both Bagau and Pierre were very generous and readily admitted that these issues needed to be studied in depth. Toda turned red when asked, and Xu Shengzhou once thought that he was going to commit seppuku on the stage.<

/p>

In the evening, Qiu Xindong couldn't help but find Xu Shengzhou and asked straight to the point: "Xiao Xu, are you planning to hold a second International Symposium on Algebraic Geometry?"

－－－－－－Digression－－－－－－

I was delayed yesterday, so I have another update today.

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