universal data

Chapter 400 The Voice of Huaguo on the ICM
403 chapter

The speakers who can be invited by the International Mathematical Union are definitely not mediocre, and most of the content mentioned in the academic report belongs to the frontier direction of the field.

In the outside world, except for the International Congress of Mathematicians held every four years, I am afraid that there is no chance to listen to several sessions of cutting-edge academic research in more than a dozen fields of mathematics in a row.

Just after listening to Professor Bill's report, Cheng Nuo learned a lot.

Listening to the big boss's speech was more rewarding than Cheng Nuo's research for a week with his head bowed behind closed doors.

Cheng Nuo naturally cherished this opportunity very much.

I rushed from this venue to that venue non-stop, and I was extremely busy.

He is now like a sponge, constantly absorbing knowledge from the ocean to enrich himself.

Since Cheng Nuo and Tan Weiwei are involved in different directions, Tan Weiwei is currently focusing on the field of number theory, so most of the lectures given by the big names in the field of number theory are relatively loose in the itinerary.

Cheng Nuo, in addition to listening to the lectures on number theory, also planned to listen to more than a dozen lectures in four or five other fields. Therefore, at night, Cheng Nuo had a round with Tan Weiwei in the room with a tired face.

"Is it necessary to work so hard?" Tan Weiwei asked with a smile while holding a glass of fruit juice.

Cheng Nuo sat down on the sofa, "The opportunity is rare, you can't do it if you don't work hard!"

Tan Weiwei asked, "How is your harvest?"

"It's a lot of benefits." Cheng Nuo nodded, "I feel that I have gained more on this day than doing a high-end project!"

Cheng Nuo was telling the truth.

What Cheng Nuo heard and learned every day at the International Conference of Mathematicians, where bigwigs gathered, couldn't be compared to working with Professor Fresnel for a month.

Here, there are no fewer than ten experts who are at the same level as Professor Fresnel.

The International Congress of Mathematicians will be held for ten days. Cheng Nuo believes that after this baptism, his mathematics level can be improved to a higher level.

It's a pity that the mathematics conference lasts only ten days, if it takes a year or so...

Well, you can't eat too much, even if it lasts for a year or so, Cheng Nuo's improvement is limited.

Even with the current intensity, Cheng Nuo had to digest it after every academic report.

After briefly chatting with Tan Weiwei about today's harvest, and making arrangements to continue to split up tomorrow, Cheng Nuo went back to his room.

…………

The next day, the second day of the conference.

Compared with the more than 2000 mathematicians who were present at the opening ceremony on the first day, the number of mathematicians active throughout the hotel this year is obviously not much.

Cheng Nuo didn't care what the lesser group of people were doing, and continued to listen to academic reports according to his schedule.

Cheng Nuo's first stop today was the partial differential conference.

There will be four 45-minute academic reports in the morning, which is enough to satisfy mathematicians in the PED field.

Professor Kulin gave a report on geometric analysis, Professor Jaime talked about the long-term existence of the water wave equation, Professor Goode gave a report on the application of geometric measure theory in the singularity analysis of linear PDE, and Professor Maiha gave a report on exponential and power nonlinear heat equations Instructions for estimating in Exp Lebesgue spaces.

The four professors are currently the top mathematicians in the field of partial differential calculus. Cheng Nuo did not miss this opportunity and listened to the four reports almost without missing a beat.

What impressed Cheng Nuo the most was Professor Jaime's report. The report was clear in thinking and advanced step by step. It first analyzed the difficulties of the problem and then solved them.

For example, the difficulty of non-hyperbolic systems of equations is solved through variable substitution, and the estimation of the fluctuating Sobolev inequality is improved by examining the limit ODE system, so as to obtain the attenuation required for the L-∞ mode of the dissipative system.

These novel ideas gave Cheng Nuo a lot of advice.

…………

In the afternoon, Cheng Nuo lingered in the three sessions of Function Theory, Number Theory, and Geometry, and listened to the reports of several bigwigs.

In the evening, Cheng Nuo, who was ready to relax, went to listen to lectures given by several invited speakers from China.

As mentioned before, a total of 45 Huaguo mathematicians are invited speakers to give one-hour or [-]-minute academic reports in their respective venues.

Among the 18 people, there are three academicians and 15 professors, six of whom are honorary professors of world-class universities.

Cheng Nuo first listened to the lecture of Academician Zhang Pingzhi. As the youngest associate dean of Peking University, Academician Zhang Pingzhi is only in his 50s this year, and he has not yet passed the golden age for mathematical research.

At the same time, Academician Zhang Pingzhi is also a winner of Changjiang Scholars, and his reputation in the domestic mathematics circle is higher than that of Professor Fang Ruoyu.

As the team leader who led the team to the United States this time, academician Zhang Pingzhi and [-] other mathematicians jointly formed the voice of China at the International Congress of Mathematicians.

Let everyone realize that China no longer wants to be unknown in the lower corner of the pyramid like it was in the last century.

Mathematics is a game against loneliness. Behind every brilliance is hard thinking and meditation day and night. After mental training, what we have is a calmer and more persistent heart. Huaguo people have never lacked these .

The topic of academician Zhang Pingzhi's report was "Interaction between singularity theory and the minimal model program". In the report, he reviewed the latest research on singularity theory, focusing on their relationship with the minimal model program, including the structure and properties of the dual complex , a proof of the logarithmic canonical threshold ascending chain conjecture and recent progress on the "local stability theory" of klt singularities.

In terms of the significance of scientific research, what Academician Zhang Pingzhi narrated is not much less valuable than the academic reports of those Philippine Prize winners, which made the mathematicians who came to listen to the reports say that the trip was worthwhile.

At the same time, the remaining invited speakers from Huaguo also gave lectures one after another.

Professor Shi Changsheng, who was the director of the Chern Institute of Mathematics at the time, gave a lecture titled "Quantitative almost reducibility and its applications", describing the latest progress of his research team in approximate reducibility and its application in the theory of one-dimensional quasi-periodic Schrdinger operator spectrum. application.It marks that Huaguo's operator spectrum research has officially caught up with the international advanced level.

Zhang Wei, now a professor at the Massachusetts Institute of Technology, was inspired by the formulas of mathematicians Gros and Vandepu, and reviewed the conjectures and theorems about self-initiating periodic integrals, special cycles on Shimura varieties, and their effects on L-functions and their The connection of the central value of the derivative, the research results such as the relative trace formula and the conjecture of the basic lemma of arithmetic are discussed.Through the derivation, the proof method of the global Gan-Gross-Prasad conjecture was recounted, which caused quite a stir.

Ba Zhiwei, who is the same age as Zhang Wei, proposed a relative fundamental lemma, arithmetic fundamental lemma, and a higher Gross-Zagier formula, pushing the research on automorphic representation in function fields to another peak.

Unknowingly, Huaguo has become an existence that cannot be underestimated in the development of world mathematics research.

(End of this chapter)