Chapter 403

The speakers who can be invited by the International Mathematical Union are certainly mediocre, and most of the content said in the academic report belongs to the frontier direction of the field.

In the outside world, except for the International Congress of Mathematicians, which is held every four years, I am afraid that there is no opportunity to listen to several cutting-edge academic research in more than a dozen fields of mathematics without stopping.

Just after listening to Professor Bill's report, Cheng Nuo can be said to have gained a lot.

Listening to the big man's speech, it is more than Cheng Nuo's own research for a week with his head bowed and behind closed doors.

Cheng Nuo naturally cherishes this opportunity.

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

He is now like a sponge, constantly absorbing the knowledge of the ocean and enriching himself.

Due to the different directions that Cheng Nuo and Tan Weiwei are involved in, Tan Weiwei is currently focusing on the field of number theory, so most of the lectures of the bigwigs in the field of number theory are quite relaxed.

In addition to listening to lectures in the direction of number theory, Cheng Nuo also planned to listen to more than ten reports in four or five other fields, so in the evening, Cheng Nuo was tired in the room and had a round with Tan Weiwei.

"Do you need to fight so hard?" Tan asked with a smile as he held a glass of juice.

Cheng Nuo sat on the sofa, "The opportunity is rare, you can't fight if you don't fight!"

Tan opened his mouth slightly and asked, "How was your harvest?"

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

Cheng Nuo is telling the truth.

At the International Congress of Mathematicians, Cheng Nuo heard and learned every day that could not be compared with Professor Fresnel's work for a month.

Here, there are no less than ten people at the same level as Professor Fresnel.

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

Unfortunately, the math conference lasted only ten days, if it were a year and a half......

Well, if you are greedy and chew more, even if it really lasts for a year and a half, Cheng Nuo's improvement is limited.

Even with this current intensity, Cheng Nuo still has to digest it after listening to an academic report.

After chatting briefly with Tan Weiwei about today's harvest and arranging for tomorrow to continue to act separately, Cheng Nuo returned to his room.

............

The next day, the second day of the conference.

Compared to the more than 2,000 mathematicians present at the opening ceremony on the first day, there are significantly fewer mathematicians active throughout the hotel this year.

Cheng Nuo didn't care what the few people were doing, and continued to listen to the academic report according to his schedule.

Today, Cheng Nuo's first stop was the partial differential sub-venue.

In the morning, there will be four 45-minute academic presentations in a row, which will be enough to entertain mathematicians in the field of PED.

Prof. Curlin gave a report on geometric analysis, Prof. Jemai talked about the long-term existence of water wave equations, Prof. Goode reported on the application of geometric measure theory in linear PDE singularity analysis, and Prof. Maiha explained the estimation of exponential and power-form nonlinear thermal equations in Exp Lebesgue space.

The four professors are currently the top mathematicians in the field of partial differentiation, and Cheng Nuo did not miss this opportunity, and listened to the four lectures almost without dropping.

What impressed Cheng Nuo the most was Professor Jermai's report, which had clear ideas and advanced step by step, first analyzing the difficulties of the problem and then solving these difficulties.

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

These novel ideas gave Cheng Nuo a lot of advice.

............

In the afternoon, Cheng Nuo wandered around the three sub-venues 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 the lectures of several invited speakers from Huaguo.

As mentioned earlier, a total of 18 Chinese mathematicians will be invited to give one-hour or 45-minute academic presentations in their respective sessions.

Among the 18 people, there are 3 academicians and 15 professors, six of whom hold honorary professors in world-class universities.

As the youngest vice president of Peking University, Academician Zhang Pingzhi is only in his fifties this year, which is considered to be the golden age for mathematical research.

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

As the leader of the team that led the team to the United States, Academician Zhang Pingzhi and 17 other mathematicians jointly formed the voice of China at the International Congress of Mathematicians.

Let everyone realize that the current Huaguo no longer wants to be obscure in the corner of the lower end of the pyramid like it was in the last century.

Mathematics is a game against loneliness, behind every glamorous and dazzling is the painstaking meditation day and night, after the tempering of the mind, what we have is a calmer, more persistent heart, and the Chinese people, has never lacked these.

The theme of Academician Zhang Pingzhi's report is "Interaction beteen singularity theory and the minimal model program", which reviews the latest research on singularity theory, focusing on their relationship with the minimality model program, including the structure and properties of dual complexes, the proof of the logarithmic canonical threshold rising chain conjecture, and the latest progress of the "local stability theory" on the klt singularity.

In terms of the significance of scientific research, the content of Academician Zhang Pingzhi's speech is not much lower than the value of the academic reports of those Philippine Prize winners, which made the mathematicians who came to listen to the report worthy of the trip.

At the same time, several invited speakers from China also gave lectures.

Professor Chang Sheng, then director of the Chern Institute of Mathematics, gave a lecture entitled "Quantitative almost reducibility and its applications", talking about the latest progress of his research team in approximate reducibility and its application to the one-dimensional quasi-periodic Schrödinger operator spectrum theory. It marks that Huaguo's operator spectrum research has officially caught up with the international advanced level.

Wei Zhang, who is currently a professor at the Massachusetts Institute of Technology, was inspired by the formula of mathematicians Gruss and Vendep, reviewed the conjectures and theorems about the integral of the surrendered period, the special circles on the Shimura cluster, and their connection to the central value of the L-function and its derivative, and discussed the results of the research results such as the relative trace formula and the fundamental lemma conjecture of arithmetic. Through derivation, the proof method of the global Gan-Gross-Prasad conjecture is restated, which caused quite a stir.

Zhiwei, who was the same age as Zhang Wei, proposed a relatively basic lemma, arithmetic basic lemma, and a higher Gross-Zagier formula, which pushed the research on self-defended representations in the function domain to another peak.

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